Add 2/3 and 30/56
2/3 + 30/56 is 101/84.
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,
30/56 = 30 × 3/56 × 3 = 90/168 - Add the two like fractions:
112/168 + 90/168 = 112 + 90/168 = 202/168 - 202/168 simplified gives 101/84
- So, 2/3 + 30/56 = 101/84
In mixed form: 117/84
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