Add 30/10 and 1/42, Solve 3 0/10 + 1/42 as a fraction

Add 30/10 and 1/42

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

30/10 + 1/42 is 127/42.

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,
1/42 = 1 × 5/42 × 5 = 5/210
Add the two like fractions:
630/210 + 5/210 = 630 + 5/210 = 635/210
635/210 simplified gives 127/42
So, 30/10 + 1/42 = 127/42
In mixed form: 31/42

MathStep (Works offline)

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