Add 27/40 and 45/56
27/40 + 45/56 is 207/140.
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,
27/40 = 27 × 7/40 × 7 = 189/280 - Likewise, for the 2nd fraction, since 56 × 5 = 280,
45/56 = 45 × 5/56 × 5 = 225/280 - Add the two like fractions:
189/280 + 225/280 = 189 + 225/280 = 414/280 - 414/280 simplified gives 207/140
- So, 27/40 + 45/56 = 207/140
In mixed form: 167/140
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