Add 40/84 and 45/90
40/84 + 45/90 is 41/42.
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,
45/90 = 45 × 14/90 × 14 = 630/1260 - Add the two like fractions:
600/1260 + 630/1260 = 600 + 630/1260 = 1230/1260 - 1230/1260 simplified gives 41/42
- So, 40/84 + 45/90 = 41/42
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