Add 56/9 and 21/81, Solve 6 2/9 + 21/81 as a fraction

Add 56/9 and 21/81

1^st number: 6 2/9, 2^nd number: 21/81

56/9 + 21/81 is 175/27.

Find the least common denominator or LCM of the two denominators:
LCM of 9 and 81 is 81

Next, find the equivalent fraction of both fractional numbers with denominator 81
For the 1st fraction, since 9 × 9 = 81,
56/9 = 56 × 9/9 × 9 = 504/81
Likewise, for the 2nd fraction, since 81 × 1 = 81,
21/81 = 21 × 1/81 × 1 = 21/81
Add the two like fractions:
504/81 + 21/81 = 504 + 21/81 = 525/81
525/81 simplified gives 175/27
So, 56/9 + 21/81 = 175/27
In mixed form: 613/27

MathStep (Works offline)

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