Add 10/27 and 40/56
10/27 + 40/56 is 205/189.
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,
10/27 = 10 × 56/27 × 56 = 560/1512 - Likewise, for the 2nd fraction, since 56 × 27 = 1512,
40/56 = 40 × 27/56 × 27 = 1080/1512 - Add the two like fractions:
560/1512 + 1080/1512 = 560 + 1080/1512 = 1640/1512 - 1640/1512 simplified gives 205/189
- So, 10/27 + 40/56 = 205/189
In mixed form: 116/189
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