Add 20/3 and 10/42
1st number: 6 2/3, 2nd number: 10/42
20/3 + 10/42 is 145/21.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 3 and 42 is 42
Next, find the equivalent fraction of both fractional numbers with denominator 42 - For the 1st fraction, since 3 × 14 = 42,
20/3 = 20 × 14/3 × 14 = 280/42 - Likewise, for the 2nd fraction, since 42 × 1 = 42,
10/42 = 10 × 1/42 × 1 = 10/42 - Add the two like fractions:
280/42 + 10/42 = 280 + 10/42 = 290/42 - 290/42 simplified gives 145/21
- So, 20/3 + 10/42 = 145/21
In mixed form: 619/21
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 40/3+10/42 20/3+20/42 20/6+10/42 20/3+10/84 60/3+10/42 20/3+30/42 20/9+10/42 20/3+50/42 20/15+10/42 20/3+70/42 20/21+10/42