Add 10/27 and 45/8, Solve 10/27 + 5 5/8 as a fraction

Add 10/27 and 45/8

1^st number: 10/27, 2^nd number: 5 5/8

10/27 + 45/8 is 1295/216.

Find the least common denominator or LCM of the two denominators:
LCM of 27 and 8 is 216

Next, find the equivalent fraction of both fractional numbers with denominator 216
For the 1st fraction, since 27 × 8 = 216,
10/27 = 10 × 8/27 × 8 = 80/216
Likewise, for the 2nd fraction, since 8 × 27 = 216,
45/8 = 45 × 27/8 × 27 = 1215/216
Add the two like fractions:
80/216 + 1215/216 = 80 + 1215/216 = 1295/216
So, 10/27 + 45/8 = 1295/216
In mixed form: 5215/216

MathStep (Works offline)

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