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