Add 42/84 and 49/54
42/84 + 49/54 is 38/27.
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,
42/84 = 42 × 9/84 × 9 = 378/756 - Likewise, for the 2nd fraction, since 54 × 14 = 756,
49/54 = 49 × 14/54 × 14 = 686/756 - Add the two like fractions:
378/756 + 686/756 = 378 + 686/756 = 1064/756 - 1064/756 simplified gives 38/27
- So, 42/84 + 49/54 = 38/27
In mixed form: 111/27
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