Add 60/21 and 75/14, Solve 2 18/21 + 5 5/14 as a fraction

Add 60/21 and 75/14

1^st number: 2 18/21, 2^nd number: 5 5/14

60/21 + 75/14 is 115/14.

Find the least common denominator or LCM of the two denominators:
LCM of 21 and 14 is 42

Next, find the equivalent fraction of both fractional numbers with denominator 42
For the 1st fraction, since 21 × 2 = 42,
60/21 = 60 × 2/21 × 2 = 120/42
Likewise, for the 2nd fraction, since 14 × 3 = 42,
75/14 = 75 × 3/14 × 3 = 225/42
Add the two like fractions:
120/42 + 225/42 = 120 + 225/42 = 345/42
345/42 simplified gives 115/14
So, 60/21 + 75/14 = 115/14
In mixed form: 83/14

MathStep (Works offline)

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