Add 10/14 and 10/27
10/14 + 10/27 is 205/189.
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,
10/27 = 10 × 14/27 × 14 = 140/378 - Add the two like fractions:
270/378 + 140/378 = 270 + 140/378 = 410/378 - 410/378 simplified gives 205/189
- So, 10/14 + 10/27 = 205/189
In mixed form: 116/189
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