Subtract 14/84 from 49/9, Solve 5 4/9

Subtract 14/84 from 49/9

1^st number: 5 4/9, 2^nd number: 14/84

49/9 - 14/84 is 95/18.

Find the least common denominator or LCM of the two denominators:
LCM of 9 and 84 is 252

Next, find the equivalent fraction of both fractional numbers with denominator 252
For the 1st fraction, since 9 × 28 = 252,
49/9 = 49 × 28/9 × 28 = 1372/252
Likewise, for the 2nd fraction, since 84 × 3 = 252,
14/84 = 14 × 3/84 × 3 = 42/252
Subtract the two like fractions:
1372/252 - 42/252 = 1372 - 42/252 = 1330/252
After reducing the fraction, the answer is 95/18
In mixed form: 55/18

MathStep (Works offline)

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