Add 27/45 and 10/4, Solve 27/45 + 2 2/4 as a fraction

Add 27/45 and 10/4

1^st number: 27/45, 2^nd number: 2 2/4

27/45 + 10/4 is 31/10.

Find the least common denominator or LCM of the two denominators:
LCM of 45 and 4 is 180

Next, find the equivalent fraction of both fractional numbers with denominator 180
For the 1st fraction, since 45 × 4 = 180,
27/45 = 27 × 4/45 × 4 = 108/180
Likewise, for the 2nd fraction, since 4 × 45 = 180,
10/4 = 10 × 45/4 × 45 = 450/180
Add the two like fractions:
108/180 + 450/180 = 108 + 450/180 = 558/180
558/180 simplified gives 31/10
So, 27/45 + 10/4 = 31/10
In mixed form: 31/10

MathStep (Works offline)

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