Add 20/27 and 12/42
20/27 + 12/42 is 194/189.
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,
12/42 = 12 × 9/42 × 9 = 108/378 - Add the two like fractions:
280/378 + 108/378 = 280 + 108/378 = 388/378 - 388/378 simplified gives 194/189
- So, 20/27 + 12/42 = 194/189
In mixed form: 15/189
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