Add 56/21 and 49/32, Solve 2 14/21 + 1 17/32 as a fraction

Add 56/21 and 49/32

1^st number: 2 14/21, 2^nd number: 1 17/32

56/21 + 49/32 is 403/96.

Find the least common denominator or LCM of the two denominators:
LCM of 21 and 32 is 672

Next, find the equivalent fraction of both fractional numbers with denominator 672
For the 1st fraction, since 21 × 32 = 672,
56/21 = 56 × 32/21 × 32 = 1792/672
Likewise, for the 2nd fraction, since 32 × 21 = 672,
49/32 = 49 × 21/32 × 21 = 1029/672
Add the two like fractions:
1792/672 + 1029/672 = 1792 + 1029/672 = 2821/672
2821/672 simplified gives 403/96
So, 56/21 + 49/32 = 403/96
In mixed form: 419/96

MathStep (Works offline)

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