Add 80/9 and 21/56, Solve 8 8/9 + 21/56 as a fraction

Add 80/9 and 21/56

1^st number: 8 8/9, 2^nd number: 21/56

80/9 + 21/56 is 667/72.

Find the least common denominator or LCM of the two denominators:
LCM of 9 and 56 is 504

Next, find the equivalent fraction of both fractional numbers with denominator 504
For the 1st fraction, since 9 × 56 = 504,
80/9 = 80 × 56/9 × 56 = 4480/504
Likewise, for the 2nd fraction, since 56 × 9 = 504,
21/56 = 21 × 9/56 × 9 = 189/504
Add the two like fractions:
4480/504 + 189/504 = 4480 + 189/504 = 4669/504
4669/504 simplified gives 667/72
So, 80/9 + 21/56 = 667/72
In mixed form: 919/72

MathStep (Works offline)

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