Add 30/10 and 20/14
1st number: 3 0/10, 2nd number: 1 6/14
30/10 + 20/14 is 31/7.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 10 and 14 is 70
Next, find the equivalent fraction of both fractional numbers with denominator 70 - For the 1st fraction, since 10 × 7 = 70,
30/10 = 30 × 7/10 × 7 = 210/70 - Likewise, for the 2nd fraction, since 14 × 5 = 70,
20/14 = 20 × 5/14 × 5 = 100/70 - Add the two like fractions:
210/70 + 100/70 = 210 + 100/70 = 310/70 - 310/70 simplified gives 31/7
- So, 30/10 + 20/14 = 31/7
In mixed form: 43/7
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 60/10+20/14 30/10+40/14 30/20+20/14 30/10+20/28 90/10+20/14 30/10+60/14 30/10+20/42 30/50+20/14 30/10+20/70 30/70+20/14 30/10+20/98