Add 30/84 and 42/63
30/84 + 42/63 is 43/42.
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,
30/84 = 30 × 3/84 × 3 = 90/252 - Likewise, for the 2nd fraction, since 63 × 4 = 252,
42/63 = 42 × 4/63 × 4 = 168/252 - Add the two like fractions:
90/252 + 168/252 = 90 + 168/252 = 258/252 - 258/252 simplified gives 43/42
- So, 30/84 + 42/63 = 43/42
In mixed form: 11/42
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