Add 8/7 and 40/24, Solve 1 1/7 + 1 16/24 as a fraction

Add 8/7 and 40/24

1^st number: 1 1/7, 2^nd number: 1 16/24

8/7 + 40/24 is 59/21.

Find the least common denominator or LCM of the two denominators:
LCM of 7 and 24 is 168

Next, find the equivalent fraction of both fractional numbers with denominator 168
For the 1st fraction, since 7 × 24 = 168,
8/7 = 8 × 24/7 × 24 = 192/168
Likewise, for the 2nd fraction, since 24 × 7 = 168,
40/24 = 40 × 7/24 × 7 = 280/168
Add the two like fractions:
192/168 + 280/168 = 192 + 280/168 = 472/168
472/168 simplified gives 59/21
So, 8/7 + 40/24 = 59/21
In mixed form: 217/21

MathStep (Works offline)

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