Add 1/27 and 72/42
1st number: 1/27, 2nd number: 1 30/42
1/27 + 72/42 is 331/189.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 27 and 42 is 378
Next, find the equivalent fraction of both fractional numbers with denominator 378 - For the 1st fraction, since 27 × 14 = 378,
1/27 = 1 × 14/27 × 14 = 14/378 - Likewise, for the 2nd fraction, since 42 × 9 = 378,
72/42 = 72 × 9/42 × 9 = 648/378 - Add the two like fractions:
14/378 + 648/378 = 14 + 648/378 = 662/378 - 662/378 simplified gives 331/189
- So, 1/27 + 72/42 = 331/189
In mixed form: 1142/189
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