Add 10/84 and 72/81
10/84 + 72/81 is 127/126.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 84 and 81 is 2268
Next, find the equivalent fraction of both fractional numbers with denominator 2268 - For the 1st fraction, since 84 × 27 = 2268,
10/84 = 10 × 27/84 × 27 = 270/2268 - Likewise, for the 2nd fraction, since 81 × 28 = 2268,
72/81 = 72 × 28/81 × 28 = 2016/2268 - Add the two like fractions:
270/2268 + 2016/2268 = 270 + 2016/2268 = 2286/2268 - 2286/2268 simplified gives 127/126
- So, 10/84 + 72/81 = 127/126
In mixed form: 11/126
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