Add 20/42 and 16/27
20/42 + 16/27 is 202/189.
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,
16/27 = 16 × 14/27 × 14 = 224/378 - Add the two like fractions:
180/378 + 224/378 = 180 + 224/378 = 404/378 - 404/378 simplified gives 202/189
- So, 20/42 + 16/27 = 202/189
In mixed form: 113/189
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