Add 60/75 and 27/16, Solve 60/75 + 1 11/16 as a fraction

Add 60/75 and 27/16

1^st number: 60/75, 2^nd number: 1 11/16

60/75 + 27/16 is 199/80.

Find the least common denominator or LCM of the two denominators:
LCM of 75 and 16 is 1200

Next, find the equivalent fraction of both fractional numbers with denominator 1200
For the 1st fraction, since 75 × 16 = 1200,
60/75 = 60 × 16/75 × 16 = 960/1200
Likewise, for the 2nd fraction, since 16 × 75 = 1200,
27/16 = 27 × 75/16 × 75 = 2025/1200
Add the two like fractions:
960/1200 + 2025/1200 = 960 + 2025/1200 = 2985/1200
2985/1200 simplified gives 199/80
So, 60/75 + 27/16 = 199/80
In mixed form: 239/80

MathStep (Works offline)

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