Add 72/84 and 4/9
72/84 + 4/9 is 82/63.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 84 and 9 is 252
Next, find the equivalent fraction of both fractional numbers with denominator 252 - For the 1st fraction, since 84 × 3 = 252,
72/84 = 72 × 3/84 × 3 = 216/252 - Likewise, for the 2nd fraction, since 9 × 28 = 252,
4/9 = 4 × 28/9 × 28 = 112/252 - Add the two like fractions:
216/252 + 112/252 = 216 + 112/252 = 328/252 - 328/252 simplified gives 82/63
- So, 72/84 + 4/9 = 82/63
In mixed form: 119/63
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