Add 40/72 and 12/7, Solve 40/72 + 1 5/7 as a fraction

Add 40/72 and 12/7

1^st number: 40/72, 2^nd number: 1 5/7

40/72 + 12/7 is 143/63.

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

Next, find the equivalent fraction of both fractional numbers with denominator 504
For the 1st fraction, since 72 × 7 = 504,
40/72 = 40 × 7/72 × 7 = 280/504
Likewise, for the 2nd fraction, since 7 × 72 = 504,
12/7 = 12 × 72/7 × 72 = 864/504
Add the two like fractions:
280/504 + 864/504 = 280 + 864/504 = 1144/504
1144/504 simplified gives 143/63
So, 40/72 + 12/7 = 143/63
In mixed form: 217/63

MathStep (Works offline)

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