Add 42/21 and 28/27
1st number: 2 0/21, 2nd number: 1 1/27
42/21 + 28/27 is 82/27.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 21 and 27 is 189
Next, find the equivalent fraction of both fractional numbers with denominator 189 - For the 1st fraction, since 21 × 9 = 189,
42/21 = 42 × 9/21 × 9 = 378/189 - Likewise, for the 2nd fraction, since 27 × 7 = 189,
28/27 = 28 × 7/27 × 7 = 196/189 - Add the two like fractions:
378/189 + 196/189 = 378 + 196/189 = 574/189 - 574/189 simplified gives 82/27
- So, 42/21 + 28/27 = 82/27
In mixed form: 31/27
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