Add 72/84 and 48/81
72/84 + 48/81 is 274/189.
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,
72/84 = 72 × 27/84 × 27 = 1944/2268 - Likewise, for the 2nd fraction, since 81 × 28 = 2268,
48/81 = 48 × 28/81 × 28 = 1344/2268 - Add the two like fractions:
1944/2268 + 1344/2268 = 1944 + 1344/2268 = 3288/2268 - 3288/2268 simplified gives 274/189
- So, 72/84 + 48/81 = 274/189
In mixed form: 185/189
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