Add 10/14 and 30/21
1st number: 10/14, 2nd number: 1 9/21
10/14 + 30/21 is 15/7.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 14 and 21 is 42
Next, find the equivalent fraction of both fractional numbers with denominator 42 - For the 1st fraction, since 14 × 3 = 42,
10/14 = 10 × 3/14 × 3 = 30/42 - Likewise, for the 2nd fraction, since 21 × 2 = 42,
30/21 = 30 × 2/21 × 2 = 60/42 - Add the two like fractions:
30/42 + 60/42 = 30 + 60/42 = 90/42 - 90/42 simplified gives 15/7
- So, 10/14 + 30/21 = 15/7
In mixed form: 21/7
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 20/14+30/21 10/14+60/21 10/28+30/21 10/14+30/42 30/14+30/21 10/14+90/21 10/42+30/21 10/14+30/63 50/14+30/21 10/70+30/21 70/14+30/21 10/98+30/21