Add 35/14 and 56/21
1st number: 2 7/14, 2nd number: 2 14/21
35/14 + 56/21 is 31/6.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 14 and 21 is 42
Next, find the equivalent fraction of both fractional numbers with denominator 42 - For the 1st fraction, since 14 × 3 = 42,
35/14 = 35 × 3/14 × 3 = 105/42 - Likewise, for the 2nd fraction, since 21 × 2 = 42,
56/21 = 56 × 2/21 × 2 = 112/42 - Add the two like fractions:
105/42 + 112/42 = 105 + 112/42 = 217/42 - 217/42 simplified gives 31/6
- So, 35/14 + 56/21 = 31/6
In mixed form: 51/6
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