Add 14/4 and 20/72, Solve 3 2/4 + 20/72 as a fraction

Add 14/4 and 20/72

1^st number: 3 2/4, 2^nd number: 20/72

14/4 + 20/72 is 34/9.

Find the least common denominator or LCM of the two denominators:
LCM of 4 and 72 is 72

Next, find the equivalent fraction of both fractional numbers with denominator 72
For the 1st fraction, since 4 × 18 = 72,
14/4 = 14 × 18/4 × 18 = 252/72
Likewise, for the 2nd fraction, since 72 × 1 = 72,
20/72 = 20 × 1/72 × 1 = 20/72
Add the two like fractions:
252/72 + 20/72 = 252 + 20/72 = 272/72
272/72 simplified gives 34/9
So, 14/4 + 20/72 = 34/9
In mixed form: 37/9

MathStep (Works offline)

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