Add 30/10 and 9/42
1st number: 3 0/10, 2nd number: 9/42
30/10 + 9/42 is 45/14.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 10 and 42 is 210
Next, find the equivalent fraction of both fractional numbers with denominator 210 - For the 1st fraction, since 10 × 21 = 210,
30/10 = 30 × 21/10 × 21 = 630/210 - Likewise, for the 2nd fraction, since 42 × 5 = 210,
9/42 = 9 × 5/42 × 5 = 45/210 - Add the two like fractions:
630/210 + 45/210 = 630 + 45/210 = 675/210 - 675/210 simplified gives 45/14
- So, 30/10 + 9/42 = 45/14
In mixed form: 33/14
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 60/10+9/42 30/10+18/42 30/20+9/42 30/10+9/84 90/10+9/42 30/10+27/42 30/10+45/42 30/50+9/42 30/10+63/42 30/70+9/42