Add 14/27 and 42/49
14/27 + 42/49 is 260/189.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 27 and 49 is 1323
Next, find the equivalent fraction of both fractional numbers with denominator 1323 - For the 1st fraction, since 27 × 49 = 1323,
14/27 = 14 × 49/27 × 49 = 686/1323 - Likewise, for the 2nd fraction, since 49 × 27 = 1323,
42/49 = 42 × 27/49 × 27 = 1134/1323 - Add the two like fractions:
686/1323 + 1134/1323 = 686 + 1134/1323 = 1820/1323 - 1820/1323 simplified gives 260/189
- So, 14/27 + 42/49 = 260/189
In mixed form: 171/189
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