Add 54/84 and 45/81
54/84 + 45/81 is 151/126.
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,
54/84 = 54 × 27/84 × 27 = 1458/2268 - Likewise, for the 2nd fraction, since 81 × 28 = 2268,
45/81 = 45 × 28/81 × 28 = 1260/2268 - Add the two like fractions:
1458/2268 + 1260/2268 = 1458 + 1260/2268 = 2718/2268 - 2718/2268 simplified gives 151/126
- So, 54/84 + 45/81 = 151/126
In mixed form: 125/126
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