Add 35/84 and 14/45
35/84 + 14/45 is 131/180.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 84 and 45 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 45 × 28 = 1260,
14/45 = 14 × 28/45 × 28 = 392/1260 - Add the two like fractions:
525/1260 + 392/1260 = 525 + 392/1260 = 917/1260 - 917/1260 simplified gives 131/180
- So, 35/84 + 14/45 = 131/180
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