Add 28/75 and 14/21
28/75 + 14/21 is 26/25.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 75 and 21 is 525
Next, find the equivalent fraction of both fractional numbers with denominator 525 - For the 1st fraction, since 75 × 7 = 525,
28/75 = 28 × 7/75 × 7 = 196/525 - Likewise, for the 2nd fraction, since 21 × 25 = 525,
14/21 = 14 × 25/21 × 25 = 350/525 - Add the two like fractions:
196/525 + 350/525 = 196 + 350/525 = 546/525 - 546/525 simplified gives 26/25
- So, 28/75 + 14/21 = 26/25
In mixed form: 11/25
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 56/75+14/21 28/75+28/21 28/75+14/42 84/75+14/21 28/75+42/21 28/75+14/63 28/75+70/21 28/75+98/21