Add 2/3 and 49/56
2/3 + 49/56 is 37/24.
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,
49/56 = 49 × 3/56 × 3 = 147/168 - Add the two like fractions:
112/168 + 147/168 = 112 + 147/168 = 259/168 - 259/168 simplified gives 37/24
- So, 2/3 + 49/56 = 37/24
In mixed form: 113/24
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