Add 72/84 and 7/27
72/84 + 7/27 is 211/189.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 84 and 27 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 27 × 28 = 756,
7/27 = 7 × 28/27 × 28 = 196/756 - Add the two like fractions:
648/756 + 196/756 = 648 + 196/756 = 844/756 - 844/756 simplified gives 211/189
- So, 72/84 + 7/27 = 211/189
In mixed form: 122/189
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