Add 30/75 and 98/21
1st number: 30/75, 2nd number: 4 14/21
30/75 + 98/21 is 76/15.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 75 and 21 is 525
Next, find the equivalent fraction of both fractional numbers with denominator 525 - For the 1st fraction, since 75 × 7 = 525,
30/75 = 30 × 7/75 × 7 = 210/525 - Likewise, for the 2nd fraction, since 21 × 25 = 525,
98/21 = 98 × 25/21 × 25 = 2450/525 - Add the two like fractions:
210/525 + 2450/525 = 210 + 2450/525 = 2660/525 - 2660/525 simplified gives 76/15
- So, 30/75 + 98/21 = 76/15
In mixed form: 51/15
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 60/75+98/21 30/75+98/42 90/75+98/21 30/75+98/63