Add 30/84 and 24/10, Solve 30/84 + 2 4/10 as a fraction

Add 30/84 and 24/10

1^st number: 30/84, 2^nd number: 2 4/10

30/84 + 24/10 is 193/70.

Find the least common denominator or LCM of the two denominators:
LCM of 84 and 10 is 420

Next, find the equivalent fraction of both fractional numbers with denominator 420
For the 1st fraction, since 84 × 5 = 420,
30/84 = 30 × 5/84 × 5 = 150/420
Likewise, for the 2nd fraction, since 10 × 42 = 420,
24/10 = 24 × 42/10 × 42 = 1008/420
Add the two like fractions:
150/420 + 1008/420 = 150 + 1008/420 = 1158/420
1158/420 simplified gives 193/70
So, 30/84 + 24/10 = 193/70
In mixed form: 253/70

MathStep (Works offline)

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