Add 49/84 and 42/90
49/84 + 42/90 is 21/20.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 84 and 90 is 1260
Next, find the equivalent fraction of both fractional numbers with denominator 1260 - For the 1st fraction, since 84 × 15 = 1260,
49/84 = 49 × 15/84 × 15 = 735/1260 - Likewise, for the 2nd fraction, since 90 × 14 = 1260,
42/90 = 42 × 14/90 × 14 = 588/1260 - Add the two like fractions:
735/1260 + 588/1260 = 735 + 588/1260 = 1323/1260 - 1323/1260 simplified gives 21/20
- So, 49/84 + 42/90 = 21/20
In mixed form: 11/20
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