Subtract 6/84 from 75/27, Solve 2 21/27

Subtract 6/84 from 75/27

1^st number: 2 21/27, 2^nd number: 6/84

75/27 - 6/84 is 341/126.

Find the least common denominator or LCM of the two denominators:
LCM of 27 and 84 is 756

Next, find the equivalent fraction of both fractional numbers with denominator 756
For the 1st fraction, since 27 × 28 = 756,
75/27 = 75 × 28/27 × 28 = 2100/756
Likewise, for the 2nd fraction, since 84 × 9 = 756,
6/84 = 6 × 9/84 × 9 = 54/756
Subtract the two like fractions:
2100/756 - 54/756 = 2100 - 54/756 = 2046/756
After reducing the fraction, the answer is 341/126
In mixed form: 289/126

MathStep (Works offline)

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