Add 42/84 and 14/27
42/84 + 14/27 is 55/54.
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,
42/84 = 42 × 9/84 × 9 = 378/756 - Likewise, for the 2nd fraction, since 27 × 28 = 756,
14/27 = 14 × 28/27 × 28 = 392/756 - Add the two like fractions:
378/756 + 392/756 = 378 + 392/756 = 770/756 - 770/756 simplified gives 55/54
- So, 42/84 + 14/27 = 55/54
In mixed form: 11/54
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