Add 72/84 and 45/54
72/84 + 45/54 is 71/42.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 84 and 54 is 756
Next, find the equivalent fraction of both fractional numbers with denominator 756 - For the 1st fraction, since 84 × 9 = 756,
72/84 = 72 × 9/84 × 9 = 648/756 - Likewise, for the 2nd fraction, since 54 × 14 = 756,
45/54 = 45 × 14/54 × 14 = 630/756 - Add the two like fractions:
648/756 + 630/756 = 648 + 630/756 = 1278/756 - 1278/756 simplified gives 71/42
- So, 72/84 + 45/54 = 71/42
In mixed form: 129/42
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