Add 30/40 and 9/14
30/40 + 9/14 is 39/28.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 40 and 14 is 280
Next, find the equivalent fraction of both fractional numbers with denominator 280 - For the 1st fraction, since 40 × 7 = 280,
30/40 = 30 × 7/40 × 7 = 210/280 - Likewise, for the 2nd fraction, since 14 × 20 = 280,
9/14 = 9 × 20/14 × 20 = 180/280 - Add the two like fractions:
210/280 + 180/280 = 210 + 180/280 = 390/280 - 390/280 simplified gives 39/28
- So, 30/40 + 9/14 = 39/28
In mixed form: 111/28
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 60/40+9/14 30/40+18/14 30/80+9/14 30/40+9/28 90/40+9/14 30/40+27/14 30/40+9/42 30/40+45/14 30/40+9/70 30/40+63/14 30/40+9/98