Add 9/45 and 35/21, Solve 9/45 + 1 14/21 as a fraction

Add 9/45 and 35/21

1^st number: 9/45, 2^nd number: 1 14/21

9/45 + 35/21 is 28/15.

Find the least common denominator or LCM of the two denominators:
LCM of 45 and 21 is 315

Next, find the equivalent fraction of both fractional numbers with denominator 315
For the 1st fraction, since 45 × 7 = 315,
9/45 = 9 × 7/45 × 7 = 63/315
Likewise, for the 2nd fraction, since 21 × 15 = 315,
35/21 = 35 × 15/21 × 15 = 525/315
Add the two like fractions:
63/315 + 525/315 = 63 + 525/315 = 588/315
588/315 simplified gives 28/15
So, 9/45 + 35/21 = 28/15
In mixed form: 113/15

MathStep (Works offline)

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