Add 27/49 and 12/63
27/49 + 12/63 is 109/147.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 49 and 63 is 441
Next, find the equivalent fraction of both fractional numbers with denominator 441 - For the 1st fraction, since 49 × 9 = 441,
27/49 = 27 × 9/49 × 9 = 243/441 - Likewise, for the 2nd fraction, since 63 × 7 = 441,
12/63 = 12 × 7/63 × 7 = 84/441 - Add the two like fractions:
243/441 + 84/441 = 243 + 84/441 = 327/441 - 327/441 simplified gives 109/147
- So, 27/49 + 12/63 = 109/147
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