Add 3/5 and 14/49
3/5 + 14/49 is 31/35.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 5 and 49 is 245
Next, find the equivalent fraction of both fractional numbers with denominator 245 - For the 1st fraction, since 5 × 49 = 245,
3/5 = 3 × 49/5 × 49 = 147/245 - Likewise, for the 2nd fraction, since 49 × 5 = 245,
14/49 = 14 × 5/49 × 5 = 70/245 - Add the two like fractions:
147/245 + 70/245 = 147 + 70/245 = 217/245 - 217/245 simplified gives 31/35
- So, 3/5 + 14/49 = 31/35
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