Add 8/9 and 35/49
8/9 + 35/49 is 101/63.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 9 and 49 is 441
Next, find the equivalent fraction of both fractional numbers with denominator 441 - For the 1st fraction, since 9 × 49 = 441,
8/9 = 8 × 49/9 × 49 = 392/441 - Likewise, for the 2nd fraction, since 49 × 9 = 441,
35/49 = 35 × 9/49 × 9 = 315/441 - Add the two like fractions:
392/441 + 315/441 = 392 + 315/441 = 707/441 - 707/441 simplified gives 101/63
- So, 8/9 + 35/49 = 101/63
In mixed form: 138/63
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