Add 10/30 and 30/7
1st number: 10/30, 2nd number: 4 2/7
10/30 + 30/7 is 97/21.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 30 and 7 is 210
Next, find the equivalent fraction of both fractional numbers with denominator 210 - For the 1st fraction, since 30 × 7 = 210,
10/30 = 10 × 7/30 × 7 = 70/210 - Likewise, for the 2nd fraction, since 7 × 30 = 210,
30/7 = 30 × 30/7 × 30 = 900/210 - Add the two like fractions:
70/210 + 900/210 = 70 + 900/210 = 970/210 - 970/210 simplified gives 97/21
- So, 10/30 + 30/7 = 97/21
In mixed form: 413/21
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 20/30+30/7 10/30+60/7 10/60+30/7 10/30+30/14 10/30+90/7 10/90+30/7 10/30+30/21 50/30+30/7 10/30+30/35 70/30+30/7 10/30+30/49