Übungsbeispiele zur Addition von jeweils 4 Brüchen.
Berechne und kürze wenn möglich.
1.
Berechne und kürze mit 14 und 4.
a)
![{\displaystyle {\frac {1}{14}}+{\frac {5}{7}}+{\frac {1}{6}}+{\frac {8}{21}}=}](https://wikimedia.org/api/rest_v1/media/math/render/svg/ee310898196abea7f6730a84020b6268c6497f45)
b)
![{\displaystyle {\frac {1}{18}}+{\frac {7}{12}}+{\frac {3}{4}}+{\frac {1}{6}}=}](https://wikimedia.org/api/rest_v1/media/math/render/svg/3da99283e0c7f8d4fc4a4f6fa266e66611bf634f)
2.
Berechne und kürze mit 18...
a)
![{\displaystyle {\frac {1}{4}}+{\frac {5}{6}}+{\frac {7}{18}}+{\frac {1}{12}}=}](https://wikimedia.org/api/rest_v1/media/math/render/svg/295ae096ecce600f29d4992f406622f1dc717217)
b)
![{\displaystyle {\frac {3}{16}}+{\frac {1}{8}}+{\frac {1}{10}}+{\frac {3}{20}}=}](https://wikimedia.org/api/rest_v1/media/math/render/svg/0158e3abccf2d257578bffaaad7baefcd1514890)
c)
![{\displaystyle {\frac {5}{18}}+{\frac {1}{4}}+{\frac {5}{9}}+{\frac {5}{12}}=}](https://wikimedia.org/api/rest_v1/media/math/render/svg/2a595d6a98e80f95d0561e017f84a795a084925e)
3.
Berechne und kürze mit 5, 18...
a)
![{\displaystyle {\frac {1}{40}}+{\frac {1}{20}}+{\frac {3}{10}}+{\frac {1}{16}}=}](https://wikimedia.org/api/rest_v1/media/math/render/svg/317230c25db2d65687288bc184eb361d89857d72)
b)
![{\displaystyle {\frac {13}{10}}+{\frac {1}{5}}+{\frac {1}{4}}+{\frac {1}{2}}=}](https://wikimedia.org/api/rest_v1/media/math/render/svg/4d907b880942e5072940fcf1360750e11f6c2fc1)
4.
Berechne und kürze mit 9...
a)
![{\displaystyle {\frac {1}{36}}+{\frac {1}{12}}+{\frac {1}{18}}+{\frac {5}{24}}=}](https://wikimedia.org/api/rest_v1/media/math/render/svg/c04bea01f18bb915e9dc47daf9f53bf1afb0eba2)
b)
![{\displaystyle {\frac {1}{24}}+{\frac {1}{8}}+{\frac {9}{16}}+{\frac {1}{12}}=}](https://wikimedia.org/api/rest_v1/media/math/render/svg/12ec1080b726df91eb96a9f88373ee125f1efd11)
c)
![{\displaystyle {\frac {3}{4}}+{\frac {1}{12}}+{\frac {1}{8}}+{\frac {1}{3}}=}](https://wikimedia.org/api/rest_v1/media/math/render/svg/c0d6ea458a577c5156f1f1a9bea48751b77ef061)
Berechne und kürze wenn möglich.
1.
Berechne und kürze mit 3 und 14.
a)
![{\displaystyle {\frac {2}{15}}+{\frac {1}{30}}+{\frac {1}{10}}+{\frac {1}{12}}=}](https://wikimedia.org/api/rest_v1/media/math/render/svg/11ae44b92ed4bcace9ef2c30a9d0fefb5847df20)
b)
![{\displaystyle {\frac {1}{10}}+{\frac {3}{14}}+{\frac {3}{7}}+{\frac {2}{35}}=}](https://wikimedia.org/api/rest_v1/media/math/render/svg/b29a706712b3ebf921a72bc08ca2d29bac36048d)
2.
Berechne und kürze mit 72...
a)
![{\displaystyle {\frac {1}{10}}+{\frac {1}{4}}+{\frac {1}{8}}+{\frac {2}{5}}=}](https://wikimedia.org/api/rest_v1/media/math/render/svg/88ab61590281e7346e6cd5d0a18f720b1bf97879)
b)
![{\displaystyle {\frac {7}{18}}+{\frac {3}{8}}+{\frac {1}{36}}+{\frac {5}{24}}=}](https://wikimedia.org/api/rest_v1/media/math/render/svg/0f0cc43295a89b6110ca60bbe2c4b1eb5b12da97)
c)
![{\displaystyle {\frac {1}{2}}+{\frac {3}{4}}+{\frac {4}{3}}+{\frac {1}{6}}=}](https://wikimedia.org/api/rest_v1/media/math/render/svg/1733645abbc5963931a1f8c6559c88e14b948e40)
3.
Berechne und kürze mit 3, 3...
a)
![{\displaystyle {\frac {5}{12}}+{\frac {3}{8}}+{\frac {5}{4}}+{\frac {1}{3}}=}](https://wikimedia.org/api/rest_v1/media/math/render/svg/cd6eb8e2521654160c7ddec95e2794b1bcdfd99b)
b)
![{\displaystyle {\frac {7}{20}}+{\frac {1}{16}}+{\frac {1}{10}}+{\frac {7}{40}}=}](https://wikimedia.org/api/rest_v1/media/math/render/svg/649d8db43b0d3da4bb86c2524c6fc74c08163fca)
4.
Berechne und kürze mit 6...
a)
![{\displaystyle {\frac {1}{22}}+{\frac {1}{11}}+{\frac {1}{6}}+{\frac {2}{33}}=}](https://wikimedia.org/api/rest_v1/media/math/render/svg/75fa3d6bd14b00b55563790daa970bae641d4684)
b)
![{\displaystyle {\frac {1}{16}}+{\frac {7}{24}}+{\frac {1}{6}}+{\frac {1}{8}}=}](https://wikimedia.org/api/rest_v1/media/math/render/svg/6409570801c231fe1bea41294b2ff73f28a901e1)
c)
![{\displaystyle {\frac {5}{21}}+{\frac {9}{14}}+{\frac {2}{7}}+{\frac {1}{6}}=}](https://wikimedia.org/api/rest_v1/media/math/render/svg/8b9214cd6bd9000f7f6007aa6138ad0c7f68b045)
Berechne und kürze wenn möglich.
1.
Berechne und kürze mit 22 und 12.
a)
![{\displaystyle {\frac {1}{33}}+{\frac {1}{6}}+{\frac {1}{11}}+{\frac {1}{22}}=}](https://wikimedia.org/api/rest_v1/media/math/render/svg/77254a65cd78148f3fb82fc920c0226a1f879959)
b)
![{\displaystyle {\frac {1}{12}}+{\frac {1}{6}}+{\frac {1}{10}}+{\frac {1}{20}}=}](https://wikimedia.org/api/rest_v1/media/math/render/svg/717b9896f1cd5ced3f4ad5ae712f503a3127002c)
2.
Berechne und kürze mit 42...
a)
![{\displaystyle {\frac {1}{20}}+{\frac {1}{16}}+{\frac {11}{40}}+{\frac {3}{10}}=}](https://wikimedia.org/api/rest_v1/media/math/render/svg/64e0e04daa757dad9c7308f3ce9ade825f7b26eb)
b)
![{\displaystyle {\frac {1}{14}}+{\frac {1}{8}}+{\frac {1}{7}}+{\frac {1}{28}}=}](https://wikimedia.org/api/rest_v1/media/math/render/svg/6cd2745d3a087a118c8cfe7825724719f921816f)
c)
![{\displaystyle {\frac {1}{6}}+{\frac {1}{14}}+{\frac {10}{21}}+{\frac {2}{7}}=}](https://wikimedia.org/api/rest_v1/media/math/render/svg/eb0f140ae74fedb4f437f9831c328f38580532b7)
3.
Berechne und kürze mit 5, 42...
a)
![{\displaystyle {\frac {1}{8}}+{\frac {7}{20}}+{\frac {1}{5}}+{\frac {7}{10}}=}](https://wikimedia.org/api/rest_v1/media/math/render/svg/f196d1541fb7d84d6eb343fbc1d9f120dee77305)
b)
![{\displaystyle {\frac {9}{10}}+{\frac {1}{6}}+{\frac {4}{15}}+{\frac {1}{3}}=}](https://wikimedia.org/api/rest_v1/media/math/render/svg/e460185dae288d0afcdad25911b8fc19e2cccb15)
4.
Berechne und kürze mit 10...
a)
![{\displaystyle {\frac {4}{9}}+{\frac {1}{6}}+{\frac {1}{18}}+{\frac {1}{12}}=}](https://wikimedia.org/api/rest_v1/media/math/render/svg/4ebbd9eb50cdeb08ff6250b7e5f4bb6240697506)
b)
![{\displaystyle {\frac {1}{6}}+{\frac {2}{33}}+{\frac {7}{22}}+{\frac {2}{11}}=}](https://wikimedia.org/api/rest_v1/media/math/render/svg/28db47a2b2ef91155ffd15781e61908653dba335)
c)
![{\displaystyle {\frac {1}{3}}+{\frac {1}{2}}+{\frac {1}{9}}+{\frac {1}{6}}=}](https://wikimedia.org/api/rest_v1/media/math/render/svg/dd50cd35ebfde256885c4700afbb75e8deff6adc)
Berechne und kürze wenn möglich.
1.
Berechne und kürze mit 2 und 9.
a)
![{\displaystyle {\frac {1}{6}}+{\frac {1}{9}}+{\frac {1}{3}}+{\frac {1}{2}}=}](https://wikimedia.org/api/rest_v1/media/math/render/svg/0b1b0ebd03b7b3c8ae5b043143c15770cf18a200)
b)
![{\displaystyle {\frac {1}{24}}+{\frac {1}{9}}+{\frac {11}{36}}+{\frac {5}{12}}=}](https://wikimedia.org/api/rest_v1/media/math/render/svg/e7f95752a1eea11a876ae1023bdb10112d36779a)
2.
Berechne und kürze mit 9...
a)
![{\displaystyle {\frac {1}{24}}+{\frac {7}{18}}+{\frac {1}{12}}+{\frac {1}{9}}=}](https://wikimedia.org/api/rest_v1/media/math/render/svg/cf46c50118fbacd361d14c21aaa98f764f1fad66)
b)
![{\displaystyle {\frac {5}{18}}+{\frac {1}{6}}+{\frac {1}{12}}+{\frac {2}{9}}=}](https://wikimedia.org/api/rest_v1/media/math/render/svg/66866a089fb9be8a83fbf0fac5dd8578dc4ed705)
c)
![{\displaystyle {\frac {1}{14}}+{\frac {1}{6}}+{\frac {2}{7}}+{\frac {1}{21}}=}](https://wikimedia.org/api/rest_v1/media/math/render/svg/c96ac610a8e2eb4b07a9d4642f58cd1ef0735b83)
3.
Berechne und kürze mit 6, 6...
a)
![{\displaystyle {\frac {1}{6}}+{\frac {5}{14}}+{\frac {1}{21}}+{\frac {1}{7}}=}](https://wikimedia.org/api/rest_v1/media/math/render/svg/c34d0f551a51c95e40a80f68a6d2e15d8a153cbd)
b)
![{\displaystyle {\frac {7}{24}}+{\frac {1}{36}}+{\frac {5}{18}}+{\frac {1}{9}}=}](https://wikimedia.org/api/rest_v1/media/math/render/svg/68355a4e9de6bd45667c5353a6a3855bbd1f340c)
4.
Berechne und kürze mit 9...
a)
![{\displaystyle {\frac {1}{14}}+{\frac {3}{7}}+{\frac {1}{28}}+{\frac {1}{8}}=}](https://wikimedia.org/api/rest_v1/media/math/render/svg/082853f0e1b0cea126f042e589f31d077e5f4798)
b)
![{\displaystyle {\frac {1}{18}}+{\frac {13}{36}}+{\frac {1}{8}}+{\frac {1}{12}}=}](https://wikimedia.org/api/rest_v1/media/math/render/svg/39f4bd160b8f845cd9a5a0f7fdedad804d665671)
c)
![{\displaystyle {\frac {1}{6}}+{\frac {7}{12}}+{\frac {1}{18}}+{\frac {1}{9}}=}](https://wikimedia.org/api/rest_v1/media/math/render/svg/89fd205be4b98362f559ff94b2f73a62239e6c0c)
Berechne und kürze wenn möglich.
1.
Berechne und kürze mit 2 und 3.
a)
![{\displaystyle {\frac {2}{9}}+{\frac {5}{6}}+{\frac {1}{2}}+{\frac {4}{3}}=}](https://wikimedia.org/api/rest_v1/media/math/render/svg/a82151db7307bf32558b5b5cba4bd655a16a1544)
b)
![{\displaystyle {\frac {5}{12}}+{\frac {3}{8}}+{\frac {1}{3}}+{\frac {3}{4}}=}](https://wikimedia.org/api/rest_v1/media/math/render/svg/562c7ba34e511f8016e905e2c102c4985ffb9af6)
2.
Berechne und kürze mit 9...
a)
![{\displaystyle {\frac {1}{16}}+{\frac {5}{12}}+{\frac {1}{6}}+{\frac {1}{24}}=}](https://wikimedia.org/api/rest_v1/media/math/render/svg/2938a6dd73242e1d8884f633255db1357a0950cd)
b)
![{\displaystyle {\frac {1}{6}}+{\frac {3}{4}}+{\frac {11}{18}}+{\frac {2}{9}}=}](https://wikimedia.org/api/rest_v1/media/math/render/svg/4a87c614fcc886d0137ecdec628360a2ba15f6ea)
c)
![{\displaystyle {\frac {3}{4}}+{\frac {5}{9}}+{\frac {1}{12}}+{\frac {5}{6}}=}](https://wikimedia.org/api/rest_v1/media/math/render/svg/b5411789a0a7b3aa58b9216e31d6cd30a1c554d4)
3.
Berechne und kürze mit 7, 4...
a)
![{\displaystyle {\frac {1}{7}}+{\frac {1}{14}}+{\frac {1}{8}}+{\frac {1}{28}}=}](https://wikimedia.org/api/rest_v1/media/math/render/svg/744d85ed84f26bc81443220e7fe5e6864fd12494)
b)
![{\displaystyle {\frac {7}{10}}+{\frac {5}{8}}+{\frac {1}{20}}+{\frac {1}{4}}=}](https://wikimedia.org/api/rest_v1/media/math/render/svg/9d4e2e4b2355a0ba38df0c5cb436302a8db0b18a)
4.
Berechne und kürze mit 5...
a)
![{\displaystyle {\frac {1}{10}}+{\frac {1}{4}}+{\frac {2}{5}}+{\frac {1}{2}}=}](https://wikimedia.org/api/rest_v1/media/math/render/svg/cc0c1b1f430b447a12817e91baadc3f2ec2ba2d5)
b)
![{\displaystyle {\frac {1}{16}}+{\frac {1}{10}}+{\frac {1}{20}}+{\frac {9}{40}}=}](https://wikimedia.org/api/rest_v1/media/math/render/svg/e2dd996fc008af90384fd03c48c59f0872023fa7)
c)
![{\displaystyle {\frac {5}{3}}+{\frac {7}{6}}+{\frac {2}{9}}+{\frac {1}{2}}=}](https://wikimedia.org/api/rest_v1/media/math/render/svg/5184293f3fd500940e2b5ac17d87348e412b6156)
Berechne und kürze wenn möglich.
1.
Berechne und kürze mit 12 und 6.
a)
![{\displaystyle {\frac {1}{12}}+{\frac {1}{30}}+{\frac {2}{15}}+{\frac {3}{20}}=}](https://wikimedia.org/api/rest_v1/media/math/render/svg/1500075a3b8e6855ed7ccee70b3fc3b9c944fab9)
b)
![{\displaystyle {\frac {3}{22}}+{\frac {1}{6}}+{\frac {4}{11}}+{\frac {5}{33}}=}](https://wikimedia.org/api/rest_v1/media/math/render/svg/e21336df4216e79006ce6cea25ee8f01aea117f8)
2.
Berechne und kürze mit 30...
a)
![{\displaystyle {\frac {1}{9}}+{\frac {1}{27}}+{\frac {1}{18}}+{\frac {1}{6}}=}](https://wikimedia.org/api/rest_v1/media/math/render/svg/30c33eb81600c85b6fbf5ae356d70a40463a472f)
b)
![{\displaystyle {\frac {1}{4}}+{\frac {1}{6}}+{\frac {1}{18}}+{\frac {1}{9}}=}](https://wikimedia.org/api/rest_v1/media/math/render/svg/9c732b34da1d43dbb8032f7078eaaa6e058d62d9)
c)
![{\displaystyle {\frac {7}{10}}+{\frac {5}{6}}+{\frac {1}{3}}+{\frac {2}{15}}=}](https://wikimedia.org/api/rest_v1/media/math/render/svg/017f36549db76cf5deba006e6f9065bc1f756a2c)
3.
Berechne und kürze mit 22, 30...
a)
![{\displaystyle {\frac {1}{6}}+{\frac {1}{33}}+{\frac {1}{11}}+{\frac {1}{22}}=}](https://wikimedia.org/api/rest_v1/media/math/render/svg/9f3b529cdac8fe8a1c6199df1ea4c64b85736c8d)
b)
![{\displaystyle {\frac {5}{12}}+{\frac {9}{20}}+{\frac {1}{6}}+{\frac {2}{15}}=}](https://wikimedia.org/api/rest_v1/media/math/render/svg/ca0fd2b49b094afdbe46a7b7a90f2e24d415abfc)
4.
Berechne und kürze mit 24...
a)
![{\displaystyle {\frac {3}{8}}+{\frac {1}{9}}+{\frac {1}{24}}+{\frac {5}{36}}=}](https://wikimedia.org/api/rest_v1/media/math/render/svg/c0cb6f655eda67b52fc917a04483ae3483b5656b)
b)
![{\displaystyle {\frac {3}{20}}+{\frac {1}{8}}+{\frac {1}{16}}+{\frac {1}{10}}=}](https://wikimedia.org/api/rest_v1/media/math/render/svg/3f63b18c98f3e20c09b17ab240e34e492313ebd1)
c)
![{\displaystyle {\frac {1}{9}}+{\frac {5}{24}}+{\frac {11}{36}}+{\frac {1}{8}}=}](https://wikimedia.org/api/rest_v1/media/math/render/svg/b4fe1dfc5a503512a41b02eae3813c868816a5d2)
Berechne und kürze wenn möglich.
1.
Berechne und kürze mit 3 und 2.
a)
![{\displaystyle {\frac {5}{18}}+{\frac {1}{9}}+{\frac {1}{36}}+{\frac {1}{8}}=}](https://wikimedia.org/api/rest_v1/media/math/render/svg/1daf6b8b01d91efe9afe9df414a2719676d25234)
b)
![{\displaystyle {\frac {1}{2}}+{\frac {1}{6}}+{\frac {11}{9}}+{\frac {1}{3}}=}](https://wikimedia.org/api/rest_v1/media/math/render/svg/cf8eeb901a6372318c1d5bf9d4693168ea4acfca)
2.
Berechne und kürze mit 20...
a)
![{\displaystyle {\frac {1}{20}}+{\frac {1}{12}}+{\frac {3}{10}}+{\frac {7}{30}}=}](https://wikimedia.org/api/rest_v1/media/math/render/svg/2a4f8f9b716e9b96645bca12751e5e27108cd634)
b)
![{\displaystyle {\frac {1}{12}}+{\frac {1}{6}}+{\frac {1}{9}}+{\frac {1}{18}}=}](https://wikimedia.org/api/rest_v1/media/math/render/svg/ac75a84362296bbcecdae3fdfe7dd063f742a67d)
c)
![{\displaystyle {\frac {7}{9}}+{\frac {5}{6}}+{\frac {1}{2}}+{\frac {1}{3}}=}](https://wikimedia.org/api/rest_v1/media/math/render/svg/c40d805372b082e936956f7c33fd02b6b7b3a759)
3.
Berechne und kürze mit 42, 2...
a)
![{\displaystyle {\frac {1}{21}}+{\frac {1}{6}}+{\frac {9}{14}}+{\frac {1}{7}}=}](https://wikimedia.org/api/rest_v1/media/math/render/svg/6b8a76812f8ec34515dd2107553930bd875b25c5)
b)
![{\displaystyle {\frac {7}{20}}+{\frac {1}{6}}+{\frac {11}{30}}+{\frac {1}{15}}=}](https://wikimedia.org/api/rest_v1/media/math/render/svg/a05d43b4d9bdbebea72b5a4c3a76e9b7a2e3be30)
4.
Berechne und kürze mit 3...
a)
![{\displaystyle {\frac {1}{6}}+{\frac {1}{20}}+{\frac {1}{30}}+{\frac {1}{10}}=}](https://wikimedia.org/api/rest_v1/media/math/render/svg/93772689e589ae0fc4fcd292b435a66ef3e7e436)
b)
![{\displaystyle {\frac {1}{18}}+{\frac {1}{12}}+{\frac {1}{6}}+{\frac {1}{9}}=}](https://wikimedia.org/api/rest_v1/media/math/render/svg/1cd891cd923ff8b626adccf216e660dbb85d59c2)
c)
![{\displaystyle {\frac {1}{18}}+{\frac {1}{9}}+{\frac {1}{4}}+{\frac {1}{12}}=}](https://wikimedia.org/api/rest_v1/media/math/render/svg/8c4c9568c2322d1135422934db05e4e1caecb224)
Berechne und kürze wenn möglich.
1.
Berechne und kürze mit 20 und 5.
a)
![{\displaystyle {\frac {1}{12}}+{\frac {1}{20}}+{\frac {1}{30}}+{\frac {1}{6}}=}](https://wikimedia.org/api/rest_v1/media/math/render/svg/8bd8aacf11e837081f99314c45501171982c274f)
b)
![{\displaystyle {\frac {1}{16}}+{\frac {1}{10}}+{\frac {3}{20}}+{\frac {1}{8}}=}](https://wikimedia.org/api/rest_v1/media/math/render/svg/76014c48d79e494cb11ac93f0bca9b6d788f55df)
2.
Berechne und kürze mit 8...
a)
![{\displaystyle {\frac {1}{8}}+{\frac {1}{14}}+{\frac {9}{28}}+{\frac {2}{7}}=}](https://wikimedia.org/api/rest_v1/media/math/render/svg/e1d56d0cd8d254b6ed7a8f2de290d96ecc405d60)
b)
![{\displaystyle {\frac {3}{8}}+{\frac {7}{20}}+{\frac {1}{4}}+{\frac {7}{10}}=}](https://wikimedia.org/api/rest_v1/media/math/render/svg/00b10024ff1bc333dd8f649eb441bbcc3441e818)
c)
![{\displaystyle {\frac {5}{12}}+{\frac {1}{9}}+{\frac {3}{8}}+{\frac {5}{24}}=}](https://wikimedia.org/api/rest_v1/media/math/render/svg/783a28d024d0054c7ae888aa894d20c3b82ed8be)
3.
Berechne und kürze mit 3, 8...
a)
![{\displaystyle {\frac {3}{2}}+{\frac {1}{3}}+{\frac {1}{6}}+{\frac {5}{4}}=}](https://wikimedia.org/api/rest_v1/media/math/render/svg/864d94df968ecf32ce3686968828c743d0c0489b)
b)
![{\displaystyle {\frac {1}{7}}+{\frac {1}{28}}+{\frac {1}{8}}+{\frac {1}{14}}=}](https://wikimedia.org/api/rest_v1/media/math/render/svg/cda1cbbfea97609205ca106bbfc9f9b67b9eb3b3)
4.
Berechne und kürze mit 9...
a)
![{\displaystyle {\frac {1}{9}}+{\frac {3}{4}}+{\frac {13}{18}}+{\frac {1}{6}}=}](https://wikimedia.org/api/rest_v1/media/math/render/svg/bafbdf046e2c2cfebb05fb207c64fe71c58abedb)
b)
![{\displaystyle {\frac {3}{8}}+{\frac {5}{6}}+{\frac {1}{3}}+{\frac {7}{12}}=}](https://wikimedia.org/api/rest_v1/media/math/render/svg/b6024f63d7a291280533c2153bef06373b8a64d8)
c)
![{\displaystyle {\frac {5}{14}}+{\frac {1}{6}}+{\frac {1}{21}}+{\frac {1}{7}}=}](https://wikimedia.org/api/rest_v1/media/math/render/svg/6054a4334172c83f40722e9e71cd086818d441f8)
Berechne und kürze wenn möglich.
1.
Berechne und kürze mit 3 und 5.
a)
![{\displaystyle {\frac {1}{4}}+{\frac {7}{6}}+{\frac {1}{2}}+{\frac {7}{3}}=}](https://wikimedia.org/api/rest_v1/media/math/render/svg/4cdc052390a2140dade4ff3e36c7ac90f5a35654)
b)
![{\displaystyle {\frac {1}{8}}+{\frac {1}{10}}+{\frac {3}{20}}+{\frac {1}{4}}=}](https://wikimedia.org/api/rest_v1/media/math/render/svg/2d8f4fc6f30f02d28c82bbc1ff2ee4a641ed7637)
2.
Berechne und kürze mit 30...
a)
![{\displaystyle {\frac {1}{3}}+{\frac {5}{6}}+{\frac {11}{15}}+{\frac {1}{10}}=}](https://wikimedia.org/api/rest_v1/media/math/render/svg/b20cbae2ff9a50eb71455c049742d0e919c46dff)
b)
![{\displaystyle {\frac {2}{3}}+{\frac {1}{6}}+{\frac {1}{2}}+{\frac {5}{9}}=}](https://wikimedia.org/api/rest_v1/media/math/render/svg/1af2f7db68f51619bce3ef326198936862fc0607)
c)
![{\displaystyle {\frac {1}{21}}+{\frac {3}{7}}+{\frac {1}{14}}+{\frac {1}{6}}=}](https://wikimedia.org/api/rest_v1/media/math/render/svg/447dfecad2f7352b6ae490691e79e20fe0cdfec9)
3.
Berechne und kürze mit 6, 6...
a)
![{\displaystyle {\frac {1}{6}}+{\frac {1}{15}}+{\frac {2}{3}}+{\frac {3}{10}}=}](https://wikimedia.org/api/rest_v1/media/math/render/svg/a9e59484565c942756e990f4f5f5febb33a578a5)
b)
![{\displaystyle {\frac {1}{10}}+{\frac {1}{4}}+{\frac {2}{5}}+{\frac {3}{2}}=}](https://wikimedia.org/api/rest_v1/media/math/render/svg/f38ebd92be1d1bf451d2b5327fac29e41957871f)
4.
Berechne und kürze mit 9...
a)
![{\displaystyle {\frac {1}{9}}+{\frac {7}{6}}+{\frac {3}{2}}+{\frac {1}{3}}=}](https://wikimedia.org/api/rest_v1/media/math/render/svg/5f08512a7de27a82d5ec1007694cea5af3fa7f3d)
b)
![{\displaystyle {\frac {5}{9}}+{\frac {11}{18}}+{\frac {1}{4}}+{\frac {5}{6}}=}](https://wikimedia.org/api/rest_v1/media/math/render/svg/a3106a8fb661e4ed580243da53e726228ca70972)
c)
![{\displaystyle {\frac {5}{12}}+{\frac {2}{9}}+{\frac {3}{4}}+{\frac {11}{18}}=}](https://wikimedia.org/api/rest_v1/media/math/render/svg/11f8322472c8805023bc88648d0c01c4d1c39fe8)
Berechne und kürze wenn möglich.
1.
Berechne und kürze mit 9 und 5.
a)
![{\displaystyle {\frac {1}{24}}+{\frac {5}{12}}+{\frac {1}{18}}+{\frac {1}{9}}=}](https://wikimedia.org/api/rest_v1/media/math/render/svg/7db98578ed057ca120520efdaf902400cfebc42a)
b)
![{\displaystyle {\frac {1}{20}}+{\frac {11}{40}}+{\frac {1}{16}}+{\frac {3}{10}}=}](https://wikimedia.org/api/rest_v1/media/math/render/svg/fa6e20a9eb4f890761edf39ebb649a75c586dfe4)
2.
Berechne und kürze mit 14...
a)
![{\displaystyle {\frac {1}{24}}+{\frac {1}{12}}+{\frac {5}{16}}+{\frac {1}{6}}=}](https://wikimedia.org/api/rest_v1/media/math/render/svg/b6ac4bdb62e323e375da1734e89ba27e82755076)
b)
![{\displaystyle {\frac {1}{28}}+{\frac {1}{7}}+{\frac {3}{8}}+{\frac {1}{14}}=}](https://wikimedia.org/api/rest_v1/media/math/render/svg/9f72f2f97c8540c204438f277e1c7db1614dbc19)
c)
![{\displaystyle {\frac {1}{6}}+{\frac {1}{14}}+{\frac {4}{7}}+{\frac {11}{21}}=}](https://wikimedia.org/api/rest_v1/media/math/render/svg/05556982bf0eb87325150b4f7b3edfb32f67ab4f)
3.
Berechne und kürze mit 12, 14...
a)
![{\displaystyle {\frac {1}{6}}+{\frac {7}{20}}+{\frac {4}{15}}+{\frac {5}{12}}=}](https://wikimedia.org/api/rest_v1/media/math/render/svg/3e63d7b1770ff6508e989987d726578f8b71a2c9)
b)
![{\displaystyle {\frac {2}{15}}+{\frac {1}{20}}+{\frac {1}{6}}+{\frac {7}{30}}=}](https://wikimedia.org/api/rest_v1/media/math/render/svg/f8d01758b500abc1d7dd36dadde5d1030bc36850)
4.
Berechne und kürze mit 60...
a)
![{\displaystyle {\frac {7}{20}}+{\frac {13}{30}}+{\frac {2}{15}}+{\frac {1}{12}}=}](https://wikimedia.org/api/rest_v1/media/math/render/svg/163d8da89a5bd6fb32fae49fec113d1808741d32)
b)
![{\displaystyle {\frac {3}{10}}+{\frac {3}{5}}+{\frac {7}{15}}+{\frac {1}{3}}=}](https://wikimedia.org/api/rest_v1/media/math/render/svg/5e834cd73e86875e76dea320c083f49a2936f41f)
c)
![{\displaystyle {\frac {7}{27}}+{\frac {1}{18}}+{\frac {5}{9}}+{\frac {1}{6}}=}](https://wikimedia.org/api/rest_v1/media/math/render/svg/b95bc40a646e4b895817cb4f1ff87f97d4ffd755)