Add 35/42 and 20/49
35/42 + 20/49 is 365/294.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 42 and 49 is 294
Next, find the equivalent fraction of both fractional numbers with denominator 294 - For the 1st fraction, since 42 × 7 = 294,
35/42 = 35 × 7/42 × 7 = 245/294 - Likewise, for the 2nd fraction, since 49 × 6 = 294,
20/49 = 20 × 6/49 × 6 = 120/294 - Add the two like fractions:
245/294 + 120/294 = 245 + 120/294 = 365/294 - So, 35/42 + 20/49 = 365/294
In mixed form: 171/294
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