Add 45/18 and 30/14
1st number: 2 9/18, 2nd number: 2 2/14
45/18 + 30/14 is 65/14.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 18 and 14 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 14 × 9 = 126,
30/14 = 30 × 9/14 × 9 = 270/126 - Add the two like fractions:
315/126 + 270/126 = 315 + 270/126 = 585/126 - 585/126 simplified gives 65/14
- So, 45/18 + 30/14 = 65/14
In mixed form: 49/14
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 90/18+30/14 45/18+60/14 45/36+30/14 45/18+30/28 45/18+90/14 45/54+30/14 45/18+30/42 45/90+30/14 45/18+30/70 45/18+30/98