Add 70/27 and 42/49
1st number: 2 16/27, 2nd number: 42/49
70/27 + 42/49 is 652/189.
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,
70/27 = 70 × 49/27 × 49 = 3430/1323 - Likewise, for the 2nd fraction, since 49 × 27 = 1323,
42/49 = 42 × 27/49 × 27 = 1134/1323 - Add the two like fractions:
3430/1323 + 1134/1323 = 3430 + 1134/1323 = 4564/1323 - 4564/1323 simplified gives 652/189
- So, 70/27 + 42/49 = 652/189
In mixed form: 385/189
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