Add 48/81 and 35/84
48/81 + 35/84 is 109/108.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 81 and 84 is 2268
Next, find the equivalent fraction of both fractional numbers with denominator 2268 - For the 1st fraction, since 81 × 28 = 2268,
48/81 = 48 × 28/81 × 28 = 1344/2268 - Likewise, for the 2nd fraction, since 84 × 27 = 2268,
35/84 = 35 × 27/84 × 27 = 945/2268 - Add the two like fractions:
1344/2268 + 945/2268 = 1344 + 945/2268 = 2289/2268 - 2289/2268 simplified gives 109/108
- So, 48/81 + 35/84 = 109/108
In mixed form: 11/108
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