Add 27/8 and 24/35, Solve 3 3/8 + 24/35 as a fraction

Add 27/8 and 24/35

1^st number: 3 3/8, 2^nd number: 24/35

27/8 + 24/35 is 1137/280.

Find the least common denominator or LCM of the two denominators:
LCM of 8 and 35 is 280

Next, find the equivalent fraction of both fractional numbers with denominator 280
For the 1st fraction, since 8 × 35 = 280,
27/8 = 27 × 35/8 × 35 = 945/280
Likewise, for the 2nd fraction, since 35 × 8 = 280,
24/35 = 24 × 8/35 × 8 = 192/280
Add the two like fractions:
945/280 + 192/280 = 945 + 192/280 = 1137/280
So, 27/8 + 24/35 = 1137/280
In mixed form: 417/280

MathStep (Works offline)

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