Add 16/21 and 21/9, Solve 16/21 + 2 3/9 as a fraction

Add 16/21 and 21/9

1^st number: 16/21, 2^nd number: 2 3/9

16/21 + 21/9 is 65/21.

Find the least common denominator or LCM of the two denominators:
LCM of 21 and 9 is 63

Next, find the equivalent fraction of both fractional numbers with denominator 63
For the 1st fraction, since 21 × 3 = 63,
16/21 = 16 × 3/21 × 3 = 48/63
Likewise, for the 2nd fraction, since 9 × 7 = 63,
21/9 = 21 × 7/9 × 7 = 147/63
Add the two like fractions:
48/63 + 147/63 = 48 + 147/63 = 195/63
195/63 simplified gives 65/21
So, 16/21 + 21/9 = 65/21
In mixed form: 32/21

MathStep (Works offline)

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