Add 72/5 and 6/9, Solve 14 2/5 + 6/9 as a fraction

Add 72/5 and 6/9

1^st number: 14 2/5, 2^nd number: 6/9

72/5 + 6/9 is 226/15.

Find the least common denominator or LCM of the two denominators:
LCM of 5 and 9 is 45

Next, find the equivalent fraction of both fractional numbers with denominator 45
For the 1st fraction, since 5 × 9 = 45,
72/5 = 72 × 9/5 × 9 = 648/45
Likewise, for the 2nd fraction, since 9 × 5 = 45,
6/9 = 6 × 5/9 × 5 = 30/45
Add the two like fractions:
648/45 + 30/45 = 648 + 30/45 = 678/45
678/45 simplified gives 226/15
So, 72/5 + 6/9 = 226/15
In mixed form: 151/15

MathStep (Works offline)

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