Add 35/90 and 45/84
35/90 + 45/84 is 233/252.
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,
35/90 = 35 × 14/90 × 14 = 490/1260 - Likewise, for the 2nd fraction, since 84 × 15 = 1260,
45/84 = 45 × 15/84 × 15 = 675/1260 - Add the two like fractions:
490/1260 + 675/1260 = 490 + 675/1260 = 1165/1260 - 1165/1260 simplified gives 233/252
- So, 35/90 + 45/84 = 233/252
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