Add 30/84 and 98/75
1st number: 30/84, 2nd number: 1 23/75
30/84 + 98/75 is 1747/1050.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 84 and 75 is 2100
Next, find the equivalent fraction of both fractional numbers with denominator 2100 - For the 1st fraction, since 84 × 25 = 2100,
30/84 = 30 × 25/84 × 25 = 750/2100 - Likewise, for the 2nd fraction, since 75 × 28 = 2100,
98/75 = 98 × 28/75 × 28 = 2744/2100 - Add the two like fractions:
750/2100 + 2744/2100 = 750 + 2744/2100 = 3494/2100 - 3494/2100 simplified gives 1747/1050
- So, 30/84 + 98/75 = 1747/1050
In mixed form: 1697/1050
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 60/84+98/75 90/84+98/75