Add 30/40 and 9/28
30/40 + 9/28 is 15/14.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 40 and 28 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 28 × 10 = 280,
9/28 = 9 × 10/28 × 10 = 90/280 - Add the two like fractions:
210/280 + 90/280 = 210 + 90/280 = 300/280 - 300/280 simplified gives 15/14
- So, 30/40 + 9/28 = 15/14
In mixed form: 11/14
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 60/40+9/28 30/40+18/28 30/80+9/28 30/40+9/56 90/40+9/28 30/40+27/28 30/40+9/84 30/40+45/28 30/40+63/28