Add 49/27 and 4/42
1st number: 1 22/27, 2nd number: 4/42
49/27 + 4/42 is 361/189.
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,
49/27 = 49 × 14/27 × 14 = 686/378 - Likewise, for the 2nd fraction, since 42 × 9 = 378,
4/42 = 4 × 9/42 × 9 = 36/378 - Add the two like fractions:
686/378 + 36/378 = 686 + 36/378 = 722/378 - 722/378 simplified gives 361/189
- So, 49/27 + 4/42 = 361/189
In mixed form: 1172/189
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