Subtract 56/49 from 75/10, Solve 7 5/10

Subtract 56/49 from 75/10

1^st number: 7 5/10, 2^nd number: 1 7/49

75/10 - 56/49 is 89/14.

Find the least common denominator or LCM of the two denominators:
LCM of 10 and 49 is 490

Next, find the equivalent fraction of both fractional numbers with denominator 490
For the 1st fraction, since 10 × 49 = 490,
75/10 = 75 × 49/10 × 49 = 3675/490
Likewise, for the 2nd fraction, since 49 × 10 = 490,
56/49 = 56 × 10/49 × 10 = 560/490
Subtract the two like fractions:
3675/490 - 560/490 = 3675 - 560/490 = 3115/490
After reducing the fraction, the answer is 89/14
In mixed form: 65/14

MathStep (Works offline)

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