Add 21/7 and 24/30, Solve 3 0/7 + 24/30 as a fraction

Add 21/7 and 24/30

1^st number: 3 0/7, 2^nd number: 24/30

21/7 + 24/30 is 19/5.

Find the least common denominator or LCM of the two denominators:
LCM of 7 and 30 is 210

Next, find the equivalent fraction of both fractional numbers with denominator 210
For the 1st fraction, since 7 × 30 = 210,
21/7 = 21 × 30/7 × 30 = 630/210
Likewise, for the 2nd fraction, since 30 × 7 = 210,
24/30 = 24 × 7/30 × 7 = 168/210
Add the two like fractions:
630/210 + 168/210 = 630 + 168/210 = 798/210
798/210 simplified gives 19/5
So, 21/7 + 24/30 = 19/5
In mixed form: 34/5

MathStep (Works offline)

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