Add 45/54 and 81/84
45/54 + 81/84 is 151/84.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 54 and 84 is 756
Next, find the equivalent fraction of both fractional numbers with denominator 756 - For the 1st fraction, since 54 × 14 = 756,
45/54 = 45 × 14/54 × 14 = 630/756 - Likewise, for the 2nd fraction, since 84 × 9 = 756,
81/84 = 81 × 9/84 × 9 = 729/756 - Add the two like fractions:
630/756 + 729/756 = 630 + 729/756 = 1359/756 - 1359/756 simplified gives 151/84
- So, 45/54 + 81/84 = 151/84
In mixed form: 167/84
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