Add 12/7 and 42/27
1st number: 1 5/7, 2nd number: 1 15/27
12/7 + 42/27 is 206/63.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 7 and 27 is 189
Next, find the equivalent fraction of both fractional numbers with denominator 189 - For the 1st fraction, since 7 × 27 = 189,
12/7 = 12 × 27/7 × 27 = 324/189 - Likewise, for the 2nd fraction, since 27 × 7 = 189,
42/27 = 42 × 7/27 × 7 = 294/189 - Add the two like fractions:
324/189 + 294/189 = 324 + 294/189 = 618/189 - 618/189 simplified gives 206/63
- So, 12/7 + 42/27 = 206/63
In mixed form: 317/63
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