Add 35/84 and 60/90
35/84 + 60/90 is 13/12.
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,
35/84 = 35 × 15/84 × 15 = 525/1260 - Likewise, for the 2nd fraction, since 90 × 14 = 1260,
60/90 = 60 × 14/90 × 14 = 840/1260 - Add the two like fractions:
525/1260 + 840/1260 = 525 + 840/1260 = 1365/1260 - 1365/1260 simplified gives 13/12
- So, 35/84 + 60/90 = 13/12
In mixed form: 11/12
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