Add 40/90 and 27/84
40/90 + 27/84 is 193/252.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 90 and 84 is 1260
Next, find the equivalent fraction of both fractional numbers with denominator 1260 - For the 1st fraction, since 90 × 14 = 1260,
40/90 = 40 × 14/90 × 14 = 560/1260 - Likewise, for the 2nd fraction, since 84 × 15 = 1260,
27/84 = 27 × 15/84 × 15 = 405/1260 - Add the two like fractions:
560/1260 + 405/1260 = 560 + 405/1260 = 965/1260 - 965/1260 simplified gives 193/252
- So, 40/90 + 27/84 = 193/252
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