Add 75/18 and 30/21
1st number: 4 3/18, 2nd number: 1 9/21
75/18 + 30/21 is 235/42.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 18 and 21 is 126
Next, find the equivalent fraction of both fractional numbers with denominator 126 - For the 1st fraction, since 18 × 7 = 126,
75/18 = 75 × 7/18 × 7 = 525/126 - Likewise, for the 2nd fraction, since 21 × 6 = 126,
30/21 = 30 × 6/21 × 6 = 180/126 - Add the two like fractions:
525/126 + 180/126 = 525 + 180/126 = 705/126 - 705/126 simplified gives 235/42
- So, 75/18 + 30/21 = 235/42
In mixed form: 525/42
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 75/18+60/21 75/36+30/21 75/18+30/42 75/18+90/21 75/54+30/21 75/18+30/63 75/90+30/21