Add 40/48 and 45/56
40/48 + 45/56 is 275/168.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 48 and 56 is 336
Next, find the equivalent fraction of both fractional numbers with denominator 336 - For the 1st fraction, since 48 × 7 = 336,
40/48 = 40 × 7/48 × 7 = 280/336 - Likewise, for the 2nd fraction, since 56 × 6 = 336,
45/56 = 45 × 6/56 × 6 = 270/336 - Add the two like fractions:
280/336 + 270/336 = 280 + 270/336 = 550/336 - 550/336 simplified gives 275/168
- So, 40/48 + 45/56 = 275/168
In mixed form: 1107/168
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