Add 30/10 and 28/42, Solve 3 0/10 + 28/42 as a fraction

Add 30/10 and 28/42

1^st number: 3 0/10, 2^nd number: 28/42

30/10 + 28/42 is 11/3.

Find the least common denominator or LCM of the two denominators:
LCM of 10 and 42 is 210

Next, find the equivalent fraction of both fractional numbers with denominator 210
For the 1st fraction, since 10 × 21 = 210,
30/10 = 30 × 21/10 × 21 = 630/210
Likewise, for the 2nd fraction, since 42 × 5 = 210,
28/42 = 28 × 5/42 × 5 = 140/210
Add the two like fractions:
630/210 + 140/210 = 630 + 140/210 = 770/210
770/210 simplified gives 11/3
So, 30/10 + 28/42 = 11/3
In mixed form: 32/3

MathStep (Works offline)

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