Add 40/36 and 49/14
1st number: 1 4/36, 2nd number: 3 7/14
40/36 + 49/14 is 83/18.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 36 and 14 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 14 × 18 = 252,
49/14 = 49 × 18/14 × 18 = 882/252 - Add the two like fractions:
280/252 + 882/252 = 280 + 882/252 = 1162/252 - 1162/252 simplified gives 83/18
- So, 40/36 + 49/14 = 83/18
In mixed form: 411/18
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