Add 2/3 and 42/56
2/3 + 42/56 is 17/12.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 3 and 56 is 168
Next, find the equivalent fraction of both fractional numbers with denominator 168 - For the 1st fraction, since 3 × 56 = 168,
2/3 = 2 × 56/3 × 56 = 112/168 - Likewise, for the 2nd fraction, since 56 × 3 = 168,
42/56 = 42 × 3/56 × 3 = 126/168 - Add the two like fractions:
112/168 + 126/168 = 112 + 126/168 = 238/168 - 238/168 simplified gives 17/12
- So, 2/3 + 42/56 = 17/12
In mixed form: 15/12
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