Add 42/49 and 20/27
42/49 + 20/27 is 302/189.
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,
42/49 = 42 × 27/49 × 27 = 1134/1323 - Likewise, for the 2nd fraction, since 27 × 49 = 1323,
20/27 = 20 × 49/27 × 49 = 980/1323 - Add the two like fractions:
1134/1323 + 980/1323 = 1134 + 980/1323 = 2114/1323 - 2114/1323 simplified gives 302/189
- So, 42/49 + 20/27 = 302/189
In mixed form: 1113/189
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