Add 30/84 and 49/54
30/84 + 49/54 is 239/189.
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,
30/84 = 30 × 9/84 × 9 = 270/756 - Likewise, for the 2nd fraction, since 54 × 14 = 756,
49/54 = 49 × 14/54 × 14 = 686/756 - Add the two like fractions:
270/756 + 686/756 = 270 + 686/756 = 956/756 - 956/756 simplified gives 239/189
- So, 30/84 + 49/54 = 239/189
In mixed form: 150/189
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