Subtract 16/27 from 14/49, Solve 14/49

Subtract 16/27 from 14/49

14/49 - 16/27 is -58/189.

Find the least common denominator or LCM of the two denominators:
LCM of 49 and 27 is 1323

Next, find the equivalent fraction of both fractional numbers with denominator 1323
For the 1st fraction, since 49 × 27 = 1323,
14/49 = 14 × 27/49 × 27 = 378/1323
Likewise, for the 2nd fraction, since 27 × 49 = 1323,
16/27 = 16 × 49/27 × 49 = 784/1323
Subtract the two like fractions:
378/1323 - 784/1323 = 378 - 784/1323 = -406/1323
After reducing the fraction, the answer is -58/189

MathStep (Works offline)

Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad