Add 45/18 and 30/42
1st number: 2 9/18, 2nd number: 30/42
45/18 + 30/42 is 45/14.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 18 and 42 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 42 × 3 = 126,
30/42 = 30 × 3/42 × 3 = 90/126 - Add the two like fractions:
315/126 + 90/126 = 315 + 90/126 = 405/126 - 405/126 simplified gives 45/14
- So, 45/18 + 30/42 = 45/14
In mixed form: 33/14
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 90/18+30/42 45/18+60/42 45/36+30/42 45/18+30/84 45/18+90/42 45/54+30/42 45/90+30/42