Add 35/49 and 40/63
35/49 + 40/63 is 85/63.
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,
35/49 = 35 × 9/49 × 9 = 315/441 - Likewise, for the 2nd fraction, since 63 × 7 = 441,
40/63 = 40 × 7/63 × 7 = 280/441 - Add the two like fractions:
315/441 + 280/441 = 315 + 280/441 = 595/441 - 595/441 simplified gives 85/63
- So, 35/49 + 40/63 = 85/63
In mixed form: 122/63
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