Add 30/14 and 15/40
1st number: 2 2/14, 2nd number: 15/40
30/14 + 15/40 is 141/56.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 14 and 40 is 280
Next, find the equivalent fraction of both fractional numbers with denominator 280 - For the 1st fraction, since 14 × 20 = 280,
30/14 = 30 × 20/14 × 20 = 600/280 - Likewise, for the 2nd fraction, since 40 × 7 = 280,
15/40 = 15 × 7/40 × 7 = 105/280 - Add the two like fractions:
600/280 + 105/280 = 600 + 105/280 = 705/280 - 705/280 simplified gives 141/56
- So, 30/14 + 15/40 = 141/56
In mixed form: 229/56
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 60/14+15/40 30/14+30/40 30/28+15/40 30/14+15/80 90/14+15/40 30/14+45/40 30/42+15/40 30/14+75/40 30/70+15/40 30/98+15/40