Add 60/81 and 21/84
60/81 + 21/84 is 107/108.
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,
60/81 = 60 × 28/81 × 28 = 1680/2268 - Likewise, for the 2nd fraction, since 84 × 27 = 2268,
21/84 = 21 × 27/84 × 27 = 567/2268 - Add the two like fractions:
1680/2268 + 567/2268 = 1680 + 567/2268 = 2247/2268 - 2247/2268 simplified gives 107/108
- So, 60/81 + 21/84 = 107/108
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