Add 40/36 and 49/21
1st number: 1 4/36, 2nd number: 2 7/21
40/36 + 49/21 is 31/9.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 36 and 21 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 21 × 12 = 252,
49/21 = 49 × 12/21 × 12 = 588/252 - Add the two like fractions:
280/252 + 588/252 = 280 + 588/252 = 868/252 - 868/252 simplified gives 31/9
- So, 40/36 + 49/21 = 31/9
In mixed form: 34/9
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