Add 45/18 and 75/21
1st number: 2 9/18, 2nd number: 3 12/21
45/18 + 75/21 is 85/14.
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,
45/18 = 45 × 7/18 × 7 = 315/126 - Likewise, for the 2nd fraction, since 21 × 6 = 126,
75/21 = 75 × 6/21 × 6 = 450/126 - Add the two like fractions:
315/126 + 450/126 = 315 + 450/126 = 765/126 - 765/126 simplified gives 85/14
- So, 45/18 + 75/21 = 85/14
In mixed form: 61/14
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 90/18+75/21 45/36+75/21 45/18+75/42 45/54+75/21 45/18+75/63 45/90+75/21