Add 30/40 and 45/28
1st number: 30/40, 2nd number: 1 17/28
30/40 + 45/28 is 33/14.
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,
45/28 = 45 × 10/28 × 10 = 450/280 - Add the two like fractions:
210/280 + 450/280 = 210 + 450/280 = 660/280 - 660/280 simplified gives 33/14
- So, 30/40 + 45/28 = 33/14
In mixed form: 25/14
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 60/40+45/28 30/40+90/28 30/80+45/28 30/40+45/56 90/40+45/28 30/40+45/84