Add 40/27 and 49/56
1st number: 1 13/27, 2nd number: 49/56
40/27 + 49/56 is 509/216.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 27 and 56 is 1512
Next, find the equivalent fraction of both fractional numbers with denominator 1512 - For the 1st fraction, since 27 × 56 = 1512,
40/27 = 40 × 56/27 × 56 = 2240/1512 - Likewise, for the 2nd fraction, since 56 × 27 = 1512,
49/56 = 49 × 27/56 × 27 = 1323/1512 - Add the two like fractions:
2240/1512 + 1323/1512 = 2240 + 1323/1512 = 3563/1512 - 3563/1512 simplified gives 509/216
- So, 40/27 + 49/56 = 509/216
In mixed form: 277/216
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