Add 10/35 and 14/49
10/35 + 14/49 is 4/7.
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,
10/35 = 10 × 7/35 × 7 = 70/245 - Likewise, for the 2nd fraction, since 49 × 5 = 245,
14/49 = 14 × 5/49 × 5 = 70/245 - Add the two like fractions:
70/245 + 70/245 = 70 + 70/245 = 140/245 - 140/245 simplified gives 4/7
- So, 10/35 + 14/49 = 4/7
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