Add 7/35 and 14/49
7/35 + 14/49 is 17/35.
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,
7/35 = 7 × 7/35 × 7 = 49/245 - Likewise, for the 2nd fraction, since 49 × 5 = 245,
14/49 = 14 × 5/49 × 5 = 70/245 - Add the two like fractions:
49/245 + 70/245 = 49 + 70/245 = 119/245 - 119/245 simplified gives 17/35
- So, 7/35 + 14/49 = 17/35
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