Add 75/84 and 21/63
75/84 + 21/63 is 103/84.
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,
75/84 = 75 × 3/84 × 3 = 225/252 - Likewise, for the 2nd fraction, since 63 × 4 = 252,
21/63 = 21 × 4/63 × 4 = 84/252 - Add the two like fractions:
225/252 + 84/252 = 225 + 84/252 = 309/252 - 309/252 simplified gives 103/84
- So, 75/84 + 21/63 = 103/84
In mixed form: 119/84
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