Add 10/14 and 27/36
10/14 + 27/36 is 41/28.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 14 and 36 is 252
Next, find the equivalent fraction of both fractional numbers with denominator 252 - For the 1st fraction, since 14 × 18 = 252,
10/14 = 10 × 18/14 × 18 = 180/252 - Likewise, for the 2nd fraction, since 36 × 7 = 252,
27/36 = 27 × 7/36 × 7 = 189/252 - Add the two like fractions:
180/252 + 189/252 = 180 + 189/252 = 369/252 - 369/252 simplified gives 41/28
- So, 10/14 + 27/36 = 41/28
In mixed form: 113/28
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