Add 4/9 and 28/49
4/9 + 28/49 is 64/63.
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,
4/9 = 4 × 49/9 × 49 = 196/441 - Likewise, for the 2nd fraction, since 49 × 9 = 441,
28/49 = 28 × 9/49 × 9 = 252/441 - Add the two like fractions:
196/441 + 252/441 = 196 + 252/441 = 448/441 - 448/441 simplified gives 64/63
- So, 4/9 + 28/49 = 64/63
In mixed form: 11/63
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