Add 7/27 and 42/49
7/27 + 42/49 is 211/189.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 27 and 49 is 1323
Next, find the equivalent fraction of both fractional numbers with denominator 1323 - For the 1st fraction, since 27 × 49 = 1323,
7/27 = 7 × 49/27 × 49 = 343/1323 - Likewise, for the 2nd fraction, since 49 × 27 = 1323,
42/49 = 42 × 27/49 × 27 = 1134/1323 - Add the two like fractions:
343/1323 + 1134/1323 = 343 + 1134/1323 = 1477/1323 - 1477/1323 simplified gives 211/189
- So, 7/27 + 42/49 = 211/189
In mixed form: 122/189
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