Add 35/30 and 18/21
1st number: 1 5/30, 2nd number: 18/21
35/30 + 18/21 is 85/42.
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,
35/30 = 35 × 7/30 × 7 = 245/210 - Likewise, for the 2nd fraction, since 21 × 10 = 210,
18/21 = 18 × 10/21 × 10 = 180/210 - Add the two like fractions:
245/210 + 180/210 = 245 + 180/210 = 425/210 - 425/210 simplified gives 85/42
- So, 35/30 + 18/21 = 85/42
In mixed form: 21/42
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 70/30+18/21 35/30+36/21 35/60+18/21 35/30+18/42 35/30+54/21 35/90+18/21 35/30+18/63 35/30+90/21