Add 7/27 and 8/14
7/27 + 8/14 is 157/189.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 27 and 14 is 378
Next, find the equivalent fraction of both fractional numbers with denominator 378 - For the 1st fraction, since 27 × 14 = 378,
7/27 = 7 × 14/27 × 14 = 98/378 - Likewise, for the 2nd fraction, since 14 × 27 = 378,
8/14 = 8 × 27/14 × 27 = 216/378 - Add the two like fractions:
98/378 + 216/378 = 98 + 216/378 = 314/378 - 314/378 simplified gives 157/189
- So, 7/27 + 8/14 = 157/189
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