Add 9/27 and 40/56
9/27 + 40/56 is 22/21.
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,
9/27 = 9 × 56/27 × 56 = 504/1512 - Likewise, for the 2nd fraction, since 56 × 27 = 1512,
40/56 = 40 × 27/56 × 27 = 1080/1512 - Add the two like fractions:
504/1512 + 1080/1512 = 504 + 1080/1512 = 1584/1512 - 1584/1512 simplified gives 22/21
- So, 9/27 + 40/56 = 22/21
In mixed form: 11/21
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