Add 75/84 and 35/90
75/84 + 35/90 is 323/252.
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,
75/84 = 75 × 15/84 × 15 = 1125/1260 - Likewise, for the 2nd fraction, since 90 × 14 = 1260,
35/90 = 35 × 14/90 × 14 = 490/1260 - Add the two like fractions:
1125/1260 + 490/1260 = 1125 + 490/1260 = 1615/1260 - 1615/1260 simplified gives 323/252
- So, 75/84 + 35/90 = 323/252
In mixed form: 171/252
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