Add 18/5 and 30/63, Solve 3 3/5 + 30/63 as a fraction

Add 18/5 and 30/63

1^st number: 3 3/5, 2^nd number: 30/63

18/5 + 30/63 is 428/105.

Find the least common denominator or LCM of the two denominators:
LCM of 5 and 63 is 315

Next, find the equivalent fraction of both fractional numbers with denominator 315
For the 1st fraction, since 5 × 63 = 315,
18/5 = 18 × 63/5 × 63 = 1134/315
Likewise, for the 2nd fraction, since 63 × 5 = 315,
30/63 = 30 × 5/63 × 5 = 150/315
Add the two like fractions:
1134/315 + 150/315 = 1134 + 150/315 = 1284/315
1284/315 simplified gives 428/105
So, 18/5 + 30/63 = 428/105
In mixed form: 48/105

MathStep (Works offline)

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