Add 32/9 and 45/30, Solve 3 5/9 + 1 15/30 as a fraction

Add 32/9 and 45/30

1^st number: 3 5/9, 2^nd number: 1 15/30

32/9 + 45/30 is 91/18.

Find the least common denominator or LCM of the two denominators:
LCM of 9 and 30 is 90

Next, find the equivalent fraction of both fractional numbers with denominator 90
For the 1st fraction, since 9 × 10 = 90,
32/9 = 32 × 10/9 × 10 = 320/90
Likewise, for the 2nd fraction, since 30 × 3 = 90,
45/30 = 45 × 3/30 × 3 = 135/90
Add the two like fractions:
320/90 + 135/90 = 320 + 135/90 = 455/90
455/90 simplified gives 91/18
So, 32/9 + 45/30 = 91/18
In mixed form: 51/18

MathStep (Works offline)

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