Add 35/30 and 45/21
1st number: 1 5/30, 2nd number: 2 3/21
35/30 + 45/21 is 139/42.
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,
45/21 = 45 × 10/21 × 10 = 450/210 - Add the two like fractions:
245/210 + 450/210 = 245 + 450/210 = 695/210 - 695/210 simplified gives 139/42
- So, 35/30 + 45/21 = 139/42
In mixed form: 313/42
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 70/30+45/21 35/30+90/21 35/60+45/21 35/30+45/42 35/90+45/21 35/30+45/63