Add 15/40 and 8/3, Solve 15/40 + 2 2/3 as a fraction

Add 15/40 and 8/3

1^st number: 15/40, 2^nd number: 2 2/3

15/40 + 8/3 is 73/24.

Find the least common denominator or LCM of the two denominators:
LCM of 40 and 3 is 120

Next, find the equivalent fraction of both fractional numbers with denominator 120
For the 1st fraction, since 40 × 3 = 120,
15/40 = 15 × 3/40 × 3 = 45/120
Likewise, for the 2nd fraction, since 3 × 40 = 120,
8/3 = 8 × 40/3 × 40 = 320/120
Add the two like fractions:
45/120 + 320/120 = 45 + 320/120 = 365/120
365/120 simplified gives 73/24
So, 15/40 + 8/3 = 73/24
In mixed form: 31/24

MathStep (Works offline)

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