Add 8/7 and 40/72, Solve 1 1/7 + 40/72 as a fraction

Add 8/7 and 40/72

1^st number: 1 1/7, 2^nd number: 40/72

8/7 + 40/72 is 107/63.

Find the least common denominator or LCM of the two denominators:
LCM of 7 and 72 is 504

Next, find the equivalent fraction of both fractional numbers with denominator 504
For the 1st fraction, since 7 × 72 = 504,
8/7 = 8 × 72/7 × 72 = 576/504
Likewise, for the 2nd fraction, since 72 × 7 = 504,
40/72 = 40 × 7/72 × 7 = 280/504
Add the two like fractions:
576/504 + 280/504 = 576 + 280/504 = 856/504
856/504 simplified gives 107/63
So, 8/7 + 40/72 = 107/63
In mixed form: 144/63

MathStep (Works offline)

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