Add 35/49 and 20/63
35/49 + 20/63 is 65/63.
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,
20/63 = 20 × 7/63 × 7 = 140/441 - Add the two like fractions:
315/441 + 140/441 = 315 + 140/441 = 455/441 - 455/441 simplified gives 65/63
- So, 35/49 + 20/63 = 65/63
In mixed form: 12/63
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