Add 35/27 and 56/21
1st number: 1 8/27, 2nd number: 2 14/21
35/27 + 56/21 is 107/27.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 27 and 21 is 189
Next, find the equivalent fraction of both fractional numbers with denominator 189 - For the 1st fraction, since 27 × 7 = 189,
35/27 = 35 × 7/27 × 7 = 245/189 - Likewise, for the 2nd fraction, since 21 × 9 = 189,
56/21 = 56 × 9/21 × 9 = 504/189 - Add the two like fractions:
245/189 + 504/189 = 245 + 504/189 = 749/189 - 749/189 simplified gives 107/27
- So, 35/27 + 56/21 = 107/27
In mixed form: 326/27
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