Add 8/9 and 30/84
8/9 + 30/84 is 157/126.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 9 and 84 is 252
Next, find the equivalent fraction of both fractional numbers with denominator 252 - For the 1st fraction, since 9 × 28 = 252,
8/9 = 8 × 28/9 × 28 = 224/252 - Likewise, for the 2nd fraction, since 84 × 3 = 252,
30/84 = 30 × 3/84 × 3 = 90/252 - Add the two like fractions:
224/252 + 90/252 = 224 + 90/252 = 314/252 - 314/252 simplified gives 157/126
- So, 8/9 + 30/84 = 157/126
In mixed form: 131/126
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