Add 42/5 and 5/27, Solve 8 2/5 + 5/27 as a fraction

Add 42/5 and 5/27

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

42/5 + 5/27 is 1159/135.

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,
42/5 = 42 × 27/5 × 27 = 1134/135
Likewise, for the 2nd fraction, since 27 × 5 = 135,
5/27 = 5 × 5/27 × 5 = 25/135
Add the two like fractions:
1134/135 + 25/135 = 1134 + 25/135 = 1159/135
So, 42/5 + 5/27 = 1159/135
In mixed form: 879/135

MathStep (Works offline)

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