Add 30/42 and 20/3
1st number: 30/42, 2nd number: 6 2/3
30/42 + 20/3 is 155/21.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 42 and 3 is 42
Next, find the equivalent fraction of both fractional numbers with denominator 42 - For the 1st fraction, since 42 × 1 = 42,
30/42 = 30 × 1/42 × 1 = 30/42 - Likewise, for the 2nd fraction, since 3 × 14 = 42,
20/3 = 20 × 14/3 × 14 = 280/42 - Add the two like fractions:
30/42 + 280/42 = 30 + 280/42 = 310/42 - 310/42 simplified gives 155/21
- So, 30/42 + 20/3 = 155/21
In mixed form: 78/21
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 60/42+20/3 30/42+40/3 30/84+20/3 30/42+20/6 90/42+20/3 30/42+60/3 30/42+20/9 30/42+20/15 30/42+20/21