Add 10/12 and 40/56
10/12 + 40/56 is 65/42.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 12 and 56 is 168
Next, find the equivalent fraction of both fractional numbers with denominator 168 - For the 1st fraction, since 12 × 14 = 168,
10/12 = 10 × 14/12 × 14 = 140/168 - Likewise, for the 2nd fraction, since 56 × 3 = 168,
40/56 = 40 × 3/56 × 3 = 120/168 - Add the two like fractions:
140/168 + 120/168 = 140 + 120/168 = 260/168 - 260/168 simplified gives 65/42
- So, 10/12 + 40/56 = 65/42
In mixed form: 123/42
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