Add 35/84 and 45/63
35/84 + 45/63 is 95/84.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 84 and 63 is 252
Next, find the equivalent fraction of both fractional numbers with denominator 252 - For the 1st fraction, since 84 × 3 = 252,
35/84 = 35 × 3/84 × 3 = 105/252 - Likewise, for the 2nd fraction, since 63 × 4 = 252,
45/63 = 45 × 4/63 × 4 = 180/252 - Add the two like fractions:
105/252 + 180/252 = 105 + 180/252 = 285/252 - 285/252 simplified gives 95/84
- So, 35/84 + 45/63 = 95/84
In mixed form: 111/84
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