Add 10/36 and 9/42
10/36 + 9/42 is 31/63.
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,
10/36 = 10 × 7/36 × 7 = 70/252 - Likewise, for the 2nd fraction, since 42 × 6 = 252,
9/42 = 9 × 6/42 × 6 = 54/252 - Add the two like fractions:
70/252 + 54/252 = 70 + 54/252 = 124/252 - 124/252 simplified gives 31/63
- So, 10/36 + 9/42 = 31/63
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