Add 4/45 and 35/84
4/45 + 35/84 is 91/180.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 45 and 84 is 1260
Next, find the equivalent fraction of both fractional numbers with denominator 1260 - For the 1st fraction, since 45 × 28 = 1260,
4/45 = 4 × 28/45 × 28 = 112/1260 - Likewise, for the 2nd fraction, since 84 × 15 = 1260,
35/84 = 35 × 15/84 × 15 = 525/1260 - Add the two like fractions:
112/1260 + 525/1260 = 112 + 525/1260 = 637/1260 - 637/1260 simplified gives 91/180
- So, 4/45 + 35/84 = 91/180
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