Add 30/18 and 75/21
1st number: 1 12/18, 2nd number: 3 12/21
30/18 + 75/21 is 110/21.
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,
30/18 = 30 × 7/18 × 7 = 210/126 - Likewise, for the 2nd fraction, since 21 × 6 = 126,
75/21 = 75 × 6/21 × 6 = 450/126 - Add the two like fractions:
210/126 + 450/126 = 210 + 450/126 = 660/126 - 660/126 simplified gives 110/21
- So, 30/18 + 75/21 = 110/21
In mixed form: 55/21
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 60/18+75/21 30/36+75/21 30/18+75/42 90/18+75/21 30/54+75/21 30/18+75/63 30/90+75/21