Add 27/36 and 10/42
27/36 + 10/42 is 83/84.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 36 and 42 is 252
Next, find the equivalent fraction of both fractional numbers with denominator 252 - For the 1st fraction, since 36 × 7 = 252,
27/36 = 27 × 7/36 × 7 = 189/252 - Likewise, for the 2nd fraction, since 42 × 6 = 252,
10/42 = 10 × 6/42 × 6 = 60/252 - Add the two like fractions:
189/252 + 60/252 = 189 + 60/252 = 249/252 - 249/252 simplified gives 83/84
- So, 27/36 + 10/42 = 83/84
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