Add 40/84 and 35/90
40/84 + 35/90 is 109/126.
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,
35/90 = 35 × 14/90 × 14 = 490/1260 - Add the two like fractions:
600/1260 + 490/1260 = 600 + 490/1260 = 1090/1260 - 1090/1260 simplified gives 109/126
- So, 40/84 + 35/90 = 109/126
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