Add 27/84 and 42/70
27/84 + 42/70 is 129/140.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 84 and 70 is 420
Next, find the equivalent fraction of both fractional numbers with denominator 420 - For the 1st fraction, since 84 × 5 = 420,
27/84 = 27 × 5/84 × 5 = 135/420 - Likewise, for the 2nd fraction, since 70 × 6 = 420,
42/70 = 42 × 6/70 × 6 = 252/420 - Add the two like fractions:
135/420 + 252/420 = 135 + 252/420 = 387/420 - 387/420 simplified gives 129/140
- So, 27/84 + 42/70 = 129/140
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