Add 27/35 and 20/49
27/35 + 20/49 is 289/245.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 35 and 49 is 245
Next, find the equivalent fraction of both fractional numbers with denominator 245 - For the 1st fraction, since 35 × 7 = 245,
27/35 = 27 × 7/35 × 7 = 189/245 - Likewise, for the 2nd fraction, since 49 × 5 = 245,
20/49 = 20 × 5/49 × 5 = 100/245 - Add the two like fractions:
189/245 + 100/245 = 189 + 100/245 = 289/245 - So, 27/35 + 20/49 = 289/245
In mixed form: 144/245
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