Add 8/3 and 9/45, Solve 2 2/3 + 9/45 as a fraction

Add 8/3 and 9/45

1^st number: 2 2/3, 2^nd number: 9/45

8/3 + 9/45 is 43/15.

Find the least common denominator or LCM of the two denominators:
LCM of 3 and 45 is 45

Next, find the equivalent fraction of both fractional numbers with denominator 45
For the 1st fraction, since 3 × 15 = 45,
8/3 = 8 × 15/3 × 15 = 120/45
Likewise, for the 2nd fraction, since 45 × 1 = 45,
9/45 = 9 × 1/45 × 1 = 9/45
Add the two like fractions:
120/45 + 9/45 = 120 + 9/45 = 129/45
129/45 simplified gives 43/15
So, 8/3 + 9/45 = 43/15
In mixed form: 213/15

MathStep (Works offline)

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