Add 7/35 and 35/49
7/35 + 35/49 is 32/35.
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,
35/49 = 35 × 5/49 × 5 = 175/245 - Add the two like fractions:
49/245 + 175/245 = 49 + 175/245 = 224/245 - 224/245 simplified gives 32/35
- So, 7/35 + 35/49 = 32/35
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