Add 9/49 and 45/63
9/49 + 45/63 is 44/49.
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,
9/49 = 9 × 9/49 × 9 = 81/441 - Likewise, for the 2nd fraction, since 63 × 7 = 441,
45/63 = 45 × 7/63 × 7 = 315/441 - Add the two like fractions:
81/441 + 315/441 = 81 + 315/441 = 396/441 - 396/441 simplified gives 44/49
- So, 9/49 + 45/63 = 44/49
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