Add 21/40 and 56/9, Solve 21/40 + 6 2/9 as a fraction

Add 21/40 and 56/9

1^st number: 21/40, 2^nd number: 6 2/9

21/40 + 56/9 is 2429/360.

Find the least common denominator or LCM of the two denominators:
LCM of 40 and 9 is 360

Next, find the equivalent fraction of both fractional numbers with denominator 360
For the 1st fraction, since 40 × 9 = 360,
21/40 = 21 × 9/40 × 9 = 189/360
Likewise, for the 2nd fraction, since 9 × 40 = 360,
56/9 = 56 × 40/9 × 40 = 2240/360
Add the two like fractions:
189/360 + 2240/360 = 189 + 2240/360 = 2429/360
So, 21/40 + 56/9 = 2429/360
In mixed form: 6269/360

MathStep (Works offline)

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