Add 14/49 and 42/63
14/49 + 42/63 is 20/21.
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,
14/49 = 14 × 9/49 × 9 = 126/441 - Likewise, for the 2nd fraction, since 63 × 7 = 441,
42/63 = 42 × 7/63 × 7 = 294/441 - Add the two like fractions:
126/441 + 294/441 = 126 + 294/441 = 420/441 - 420/441 simplified gives 20/21
- So, 14/49 + 42/63 = 20/21
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