Add 20/42 and 49/27
1st number: 20/42, 2nd number: 1 22/27
20/42 + 49/27 is 433/189.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 42 and 27 is 378
Next, find the equivalent fraction of both fractional numbers with denominator 378 - For the 1st fraction, since 42 × 9 = 378,
20/42 = 20 × 9/42 × 9 = 180/378 - Likewise, for the 2nd fraction, since 27 × 14 = 378,
49/27 = 49 × 14/27 × 14 = 686/378 - Add the two like fractions:
180/378 + 686/378 = 180 + 686/378 = 866/378 - 866/378 simplified gives 433/189
- So, 20/42 + 49/27 = 433/189
In mixed form: 255/189
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