Add 30/4 and 21/18, Solve 7 2/4 + 1 3/18 as a fraction

Add 30/4 and 21/18

1^st number: 7 2/4, 2^nd number: 1 3/18

30/4 + 21/18 is 26/3.

Find the least common denominator or LCM of the two denominators:
LCM of 4 and 18 is 36

Next, find the equivalent fraction of both fractional numbers with denominator 36
For the 1st fraction, since 4 × 9 = 36,
30/4 = 30 × 9/4 × 9 = 270/36
Likewise, for the 2nd fraction, since 18 × 2 = 36,
21/18 = 21 × 2/18 × 2 = 42/36
Add the two like fractions:
270/36 + 42/36 = 270 + 42/36 = 312/36
312/36 simplified gives 26/3
So, 30/4 + 21/18 = 26/3
In mixed form: 82/3

MathStep (Works offline)

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