Add 35/40 and 27/56
35/40 + 27/56 is 19/14.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 40 and 56 is 280
Next, find the equivalent fraction of both fractional numbers with denominator 280 - For the 1st fraction, since 40 × 7 = 280,
35/40 = 35 × 7/40 × 7 = 245/280 - Likewise, for the 2nd fraction, since 56 × 5 = 280,
27/56 = 27 × 5/56 × 5 = 135/280 - Add the two like fractions:
245/280 + 135/280 = 245 + 135/280 = 380/280 - 380/280 simplified gives 19/14
- So, 35/40 + 27/56 = 19/14
In mixed form: 15/14
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