Add 21/28 and 75/40
1st number: 21/28, 2nd number: 1 35/40
21/28 + 75/40 is 21/8.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 28 and 40 is 280
Next, find the equivalent fraction of both fractional numbers with denominator 280 - For the 1st fraction, since 28 × 10 = 280,
21/28 = 21 × 10/28 × 10 = 210/280 - Likewise, for the 2nd fraction, since 40 × 7 = 280,
75/40 = 75 × 7/40 × 7 = 525/280 - Add the two like fractions:
210/280 + 525/280 = 210 + 525/280 = 735/280 - 735/280 simplified gives 21/8
- So, 21/28 + 75/40 = 21/8
In mixed form: 25/8
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 42/28+75/40 21/56+75/40 21/28+75/80 63/28+75/40 21/84+75/40