Add 30/21 and 32/45, Solve 1 9/21 + 32/45 as a fraction

Add 30/21 and 32/45

1^st number: 1 9/21, 2^nd number: 32/45

30/21 + 32/45 is 674/315.

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

Next, find the equivalent fraction of both fractional numbers with denominator 315
For the 1st fraction, since 21 × 15 = 315,
30/21 = 30 × 15/21 × 15 = 450/315
Likewise, for the 2nd fraction, since 45 × 7 = 315,
32/45 = 32 × 7/45 × 7 = 224/315
Add the two like fractions:
450/315 + 224/315 = 450 + 224/315 = 674/315
So, 30/21 + 32/45 = 674/315
In mixed form: 244/315

MathStep (Works offline)

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