Add 45/12 and 45/10, Solve 3 9/12 + 4 5/10 as a fraction

Add 45/12 and 45/10

1^st number: 3 9/12, 2^nd number: 4 5/10

45/12 + 45/10 is 33/4.

Find the least common denominator or LCM of the two denominators:
LCM of 12 and 10 is 60

Next, find the equivalent fraction of both fractional numbers with denominator 60
For the 1st fraction, since 12 × 5 = 60,
45/12 = 45 × 5/12 × 5 = 225/60
Likewise, for the 2nd fraction, since 10 × 6 = 60,
45/10 = 45 × 6/10 × 6 = 270/60
Add the two like fractions:
225/60 + 270/60 = 225 + 270/60 = 495/60
495/60 simplified gives 33/4
So, 45/12 + 45/10 = 33/4
In mixed form: 81/4

MathStep (Works offline)

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