Add 10/36 and 40/42
10/36 + 40/42 is 155/126.
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,
40/42 = 40 × 6/42 × 6 = 240/252 - Add the two like fractions:
70/252 + 240/252 = 70 + 240/252 = 310/252 - 310/252 simplified gives 155/126
- So, 10/36 + 40/42 = 155/126
In mixed form: 129/126
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