Add 45/40 and 30/15, Solve 1 5/40 + 2 0/15 as a fraction

Add 45/40 and 30/15

1^st number: 1 5/40, 2^nd number: 2 0/15

45/40 + 30/15 is 25/8.

Find the least common denominator or LCM of the two denominators:
LCM of 40 and 15 is 120

Next, find the equivalent fraction of both fractional numbers with denominator 120
For the 1st fraction, since 40 × 3 = 120,
45/40 = 45 × 3/40 × 3 = 135/120
Likewise, for the 2nd fraction, since 15 × 8 = 120,
30/15 = 30 × 8/15 × 8 = 240/120
Add the two like fractions:
135/120 + 240/120 = 135 + 240/120 = 375/120
375/120 simplified gives 25/8
So, 45/40 + 30/15 = 25/8
In mixed form: 31/8

MathStep (Works offline)

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