Add 40/48 and 45/12, Solve 40/48 + 3 9/12 as a fraction

Add 40/48 and 45/12

1^st number: 40/48, 2^nd number: 3 9/12

40/48 + 45/12 is 55/12.

Find the least common denominator or LCM of the two denominators:
LCM of 48 and 12 is 48

Next, find the equivalent fraction of both fractional numbers with denominator 48
For the 1st fraction, since 48 × 1 = 48,
40/48 = 40 × 1/48 × 1 = 40/48
Likewise, for the 2nd fraction, since 12 × 4 = 48,
45/12 = 45 × 4/12 × 4 = 180/48
Add the two like fractions:
40/48 + 180/48 = 40 + 180/48 = 220/48
220/48 simplified gives 55/12
So, 40/48 + 45/12 = 55/12
In mixed form: 47/12

MathStep (Works offline)

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