Add 40/36 and 21/42
1st number: 1 4/36, 2nd number: 21/42
40/36 + 21/42 is 29/18.
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,
40/36 = 40 × 7/36 × 7 = 280/252 - Likewise, for the 2nd fraction, since 42 × 6 = 252,
21/42 = 21 × 6/42 × 6 = 126/252 - Add the two like fractions:
280/252 + 126/252 = 280 + 126/252 = 406/252 - 406/252 simplified gives 29/18
- So, 40/36 + 21/42 = 29/18
In mixed form: 111/18
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