Add 27/84 and 24/49
27/84 + 24/49 is 159/196.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 84 and 49 is 588
Next, find the equivalent fraction of both fractional numbers with denominator 588 - For the 1st fraction, since 84 × 7 = 588,
27/84 = 27 × 7/84 × 7 = 189/588 - Likewise, for the 2nd fraction, since 49 × 12 = 588,
24/49 = 24 × 12/49 × 12 = 288/588 - Add the two like fractions:
189/588 + 288/588 = 189 + 288/588 = 477/588 - 477/588 simplified gives 159/196
- So, 27/84 + 24/49 = 159/196
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