Add 30/12 and 20/42, Solve 2 6/12 + 20/42 as a fraction

Add 30/12 and 20/42

1^st number: 2 6/12, 2^nd number: 20/42

30/12 + 20/42 is 125/42.

Find the least common denominator or LCM of the two denominators:
LCM of 12 and 42 is 84

Next, find the equivalent fraction of both fractional numbers with denominator 84
For the 1st fraction, since 12 × 7 = 84,
30/12 = 30 × 7/12 × 7 = 210/84
Likewise, for the 2nd fraction, since 42 × 2 = 84,
20/42 = 20 × 2/42 × 2 = 40/84
Add the two like fractions:
210/84 + 40/84 = 210 + 40/84 = 250/84
250/84 simplified gives 125/42
So, 30/12 + 20/42 = 125/42
In mixed form: 241/42

MathStep (Works offline)

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