Add 21/84 and 49/90
21/84 + 49/90 is 143/180.
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,
21/84 = 21 × 15/84 × 15 = 315/1260 - Likewise, for the 2nd fraction, since 90 × 14 = 1260,
49/90 = 49 × 14/90 × 14 = 686/1260 - Add the two like fractions:
315/1260 + 686/1260 = 315 + 686/1260 = 1001/1260 - 1001/1260 simplified gives 143/180
- So, 21/84 + 49/90 = 143/180
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