Add 45/84 and 21/49
45/84 + 21/49 is 27/28.
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,
45/84 = 45 × 7/84 × 7 = 315/588 - Likewise, for the 2nd fraction, since 49 × 12 = 588,
21/49 = 21 × 12/49 × 12 = 252/588 - Add the two like fractions:
315/588 + 252/588 = 315 + 252/588 = 567/588 - 567/588 simplified gives 27/28
- So, 45/84 + 21/49 = 27/28
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