Add 8/9 and 21/49
8/9 + 21/49 is 83/63.
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,
21/49 = 21 × 9/49 × 9 = 189/441 - Add the two like fractions:
392/441 + 189/441 = 392 + 189/441 = 581/441 - 581/441 simplified gives 83/63
- So, 8/9 + 21/49 = 83/63
In mixed form: 120/63
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