Add 49/27 and 40/56
1st number: 1 22/27, 2nd number: 40/56
49/27 + 40/56 is 478/189.
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,
49/27 = 49 × 56/27 × 56 = 2744/1512 - Likewise, for the 2nd fraction, since 56 × 27 = 1512,
40/56 = 40 × 27/56 × 27 = 1080/1512 - Add the two like fractions:
2744/1512 + 1080/1512 = 2744 + 1080/1512 = 3824/1512 - 3824/1512 simplified gives 478/189
- So, 49/27 + 40/56 = 478/189
In mixed form: 2100/189
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