Add 10/14 and 20/27
10/14 + 20/27 is 275/189.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 14 and 27 is 378
Next, find the equivalent fraction of both fractional numbers with denominator 378 - For the 1st fraction, since 14 × 27 = 378,
10/14 = 10 × 27/14 × 27 = 270/378 - Likewise, for the 2nd fraction, since 27 × 14 = 378,
20/27 = 20 × 14/27 × 14 = 280/378 - Add the two like fractions:
270/378 + 280/378 = 270 + 280/378 = 550/378 - 550/378 simplified gives 275/189
- So, 10/14 + 20/27 = 275/189
In mixed form: 186/189
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