Add 40/84 and 49/90
40/84 + 49/90 is 643/630.
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,
40/84 = 40 × 15/84 × 15 = 600/1260 - Likewise, for the 2nd fraction, since 90 × 14 = 1260,
49/90 = 49 × 14/90 × 14 = 686/1260 - Add the two like fractions:
600/1260 + 686/1260 = 600 + 686/1260 = 1286/1260 - 1286/1260 simplified gives 643/630
- So, 40/84 + 49/90 = 643/630
In mixed form: 113/630
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