Add 75/16 and 27/72, Solve 4 11/16 + 27/72 as a fraction

Add 75/16 and 27/72

1^st number: 4 11/16, 2^nd number: 27/72

75/16 + 27/72 is 81/16.

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,
27/72 = 27 × 2/72 × 2 = 54/144
Add the two like fractions:
675/144 + 54/144 = 675 + 54/144 = 729/144
729/144 simplified gives 81/16
So, 75/16 + 27/72 = 81/16
In mixed form: 51/16

MathStep (Works offline)

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