Add 25/27 and 42/49
25/27 + 42/49 is 337/189.
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,
25/27 = 25 × 49/27 × 49 = 1225/1323 - Likewise, for the 2nd fraction, since 49 × 27 = 1323,
42/49 = 42 × 27/49 × 27 = 1134/1323 - Add the two like fractions:
1225/1323 + 1134/1323 = 1225 + 1134/1323 = 2359/1323 - 2359/1323 simplified gives 337/189
- So, 25/27 + 42/49 = 337/189
In mixed form: 1148/189
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