Add 75/84 and 2/9
75/84 + 2/9 is 281/252.
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,
75/84 = 75 × 3/84 × 3 = 225/252 - Likewise, for the 2nd fraction, since 9 × 28 = 252,
2/9 = 2 × 28/9 × 28 = 56/252 - Add the two like fractions:
225/252 + 56/252 = 225 + 56/252 = 281/252 - So, 75/84 + 2/9 = 281/252
In mixed form: 129/252
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