Add 30/84 and 54/81
30/84 + 54/81 is 43/42.
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,
30/84 = 30 × 27/84 × 27 = 810/2268 - Likewise, for the 2nd fraction, since 81 × 28 = 2268,
54/81 = 54 × 28/81 × 28 = 1512/2268 - Add the two like fractions:
810/2268 + 1512/2268 = 810 + 1512/2268 = 2322/2268 - 2322/2268 simplified gives 43/42
- So, 30/84 + 54/81 = 43/42
In mixed form: 11/42
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