Add 27/5 and 24/27, Solve 5 2/5 + 24/27 as a fraction

Add 27/5 and 24/27

1^st number: 5 2/5, 2^nd number: 24/27

27/5 + 24/27 is 283/45.

Find the least common denominator or LCM of the two denominators:
LCM of 5 and 27 is 135

Next, find the equivalent fraction of both fractional numbers with denominator 135
For the 1st fraction, since 5 × 27 = 135,
27/5 = 27 × 27/5 × 27 = 729/135
Likewise, for the 2nd fraction, since 27 × 5 = 135,
24/27 = 24 × 5/27 × 5 = 120/135
Add the two like fractions:
729/135 + 120/135 = 729 + 120/135 = 849/135
849/135 simplified gives 283/45
So, 27/5 + 24/27 = 283/45
In mixed form: 613/45

MathStep (Works offline)

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