Add 40/42 and 56/64
40/42 + 56/64 is 307/168.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 42 and 64 is 1344
Next, find the equivalent fraction of both fractional numbers with denominator 1344 - For the 1st fraction, since 42 × 32 = 1344,
40/42 = 40 × 32/42 × 32 = 1280/1344 - Likewise, for the 2nd fraction, since 64 × 21 = 1344,
56/64 = 56 × 21/64 × 21 = 1176/1344 - Add the two like fractions:
1280/1344 + 1176/1344 = 1280 + 1176/1344 = 2456/1344 - 2456/1344 simplified gives 307/168
- So, 40/42 + 56/64 = 307/168
In mixed form: 1139/168
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