Add 20/27 and 10/42
20/27 + 10/42 is 185/189.
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,
20/27 = 20 × 14/27 × 14 = 280/378 - Likewise, for the 2nd fraction, since 42 × 9 = 378,
10/42 = 10 × 9/42 × 9 = 90/378 - Add the two like fractions:
280/378 + 90/378 = 280 + 90/378 = 370/378 - 370/378 simplified gives 185/189
- So, 20/27 + 10/42 = 185/189
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