Add 35/49 and 20/27
35/49 + 20/27 is 275/189.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 49 and 27 is 1323
Next, find the equivalent fraction of both fractional numbers with denominator 1323 - For the 1st fraction, since 49 × 27 = 1323,
35/49 = 35 × 27/49 × 27 = 945/1323 - Likewise, for the 2nd fraction, since 27 × 49 = 1323,
20/27 = 20 × 49/27 × 49 = 980/1323 - Add the two like fractions:
945/1323 + 980/1323 = 945 + 980/1323 = 1925/1323 - 1925/1323 simplified gives 275/189
- So, 35/49 + 20/27 = 275/189
In mixed form: 186/189
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