Add 21/49 and 15/9, Solve 21/49 + 1 6/9 as a fraction

Add 21/49 and 15/9

1^st number: 21/49, 2^nd number: 1 6/9

21/49 + 15/9 is 44/21.

Find the least common denominator or LCM of the two denominators:
LCM of 49 and 9 is 441

Next, find the equivalent fraction of both fractional numbers with denominator 441
For the 1st fraction, since 49 × 9 = 441,
21/49 = 21 × 9/49 × 9 = 189/441
Likewise, for the 2nd fraction, since 9 × 49 = 441,
15/9 = 15 × 49/9 × 49 = 735/441
Add the two like fractions:
189/441 + 735/441 = 189 + 735/441 = 924/441
924/441 simplified gives 44/21
So, 21/49 + 15/9 = 44/21
In mixed form: 22/21

MathStep (Works offline)

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