Add 42/27 and 75/7
1st number: 1 15/27, 2nd number: 10 5/7
42/27 + 75/7 is 773/63.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 27 and 7 is 189
Next, find the equivalent fraction of both fractional numbers with denominator 189 - For the 1st fraction, since 27 × 7 = 189,
42/27 = 42 × 7/27 × 7 = 294/189 - Likewise, for the 2nd fraction, since 7 × 27 = 189,
75/7 = 75 × 27/7 × 27 = 2025/189 - Add the two like fractions:
294/189 + 2025/189 = 294 + 2025/189 = 2319/189 - 2319/189 simplified gives 773/63
- So, 42/27 + 75/7 = 773/63
In mixed form: 1217/63
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