Add 40/56 and 14/21
40/56 + 14/21 is 29/21.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 56 and 21 is 168
Next, find the equivalent fraction of both fractional numbers with denominator 168 - For the 1st fraction, since 56 × 3 = 168,
40/56 = 40 × 3/56 × 3 = 120/168 - Likewise, for the 2nd fraction, since 21 × 8 = 168,
14/21 = 14 × 8/21 × 8 = 112/168 - Add the two like fractions:
120/168 + 112/168 = 120 + 112/168 = 232/168 - 232/168 simplified gives 29/21
- So, 40/56 + 14/21 = 29/21
In mixed form: 18/21
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