Add 14/15 and 49/63
14/15 + 49/63 is 77/45.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 15 and 63 is 315
Next, find the equivalent fraction of both fractional numbers with denominator 315 - For the 1st fraction, since 15 × 21 = 315,
14/15 = 14 × 21/15 × 21 = 294/315 - Likewise, for the 2nd fraction, since 63 × 5 = 315,
49/63 = 49 × 5/63 × 5 = 245/315 - Add the two like fractions:
294/315 + 245/315 = 294 + 245/315 = 539/315 - 539/315 simplified gives 77/45
- So, 14/15 + 49/63 = 77/45
In mixed form: 132/45
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