Add 75/7 and 21/27
1st number: 10 5/7, 2nd number: 21/27
75/7 + 21/27 is 724/63.
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,
75/7 = 75 × 27/7 × 27 = 2025/189 - Likewise, for the 2nd fraction, since 27 × 7 = 189,
21/27 = 21 × 7/27 × 7 = 147/189 - Add the two like fractions:
2025/189 + 147/189 = 2025 + 147/189 = 2172/189 - 2172/189 simplified gives 724/63
- So, 75/7 + 21/27 = 724/63
In mixed form: 1131/63
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