Add 10/30 and 40/21
1st number: 10/30, 2nd number: 1 19/21
10/30 + 40/21 is 47/21.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 30 and 21 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 21 × 10 = 210,
40/21 = 40 × 10/21 × 10 = 400/210 - Add the two like fractions:
70/210 + 400/210 = 70 + 400/210 = 470/210 - 470/210 simplified gives 47/21
- So, 10/30 + 40/21 = 47/21
In mixed form: 25/21
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 20/30+40/21 10/30+80/21 10/60+40/21 10/30+40/42 10/90+40/21 10/30+40/63 50/30+40/21 70/30+40/21