Add 75/16 and 10/72, Solve 4 11/16 + 10/72 as a fraction

Add 75/16 and 10/72

1^st number: 4 11/16, 2^nd number: 10/72

75/16 + 10/72 is 695/144.

Find the least common denominator or LCM of the two denominators:
LCM of 16 and 72 is 144

Next, find the equivalent fraction of both fractional numbers with denominator 144
For the 1st fraction, since 16 × 9 = 144,
75/16 = 75 × 9/16 × 9 = 675/144
Likewise, for the 2nd fraction, since 72 × 2 = 144,
10/72 = 10 × 2/72 × 2 = 20/144
Add the two like fractions:
675/144 + 20/144 = 675 + 20/144 = 695/144
So, 75/16 + 10/72 = 695/144
In mixed form: 4119/144

MathStep (Works offline)

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