Add 75/84 and 45/63
75/84 + 45/63 is 45/28.
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,
75/84 = 75 × 3/84 × 3 = 225/252 - Likewise, for the 2nd fraction, since 63 × 4 = 252,
45/63 = 45 × 4/63 × 4 = 180/252 - Add the two like fractions:
225/252 + 180/252 = 225 + 180/252 = 405/252 - 405/252 simplified gives 45/28
- So, 75/84 + 45/63 = 45/28
In mixed form: 117/28
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