Add 21/30 and 45/28
1st number: 21/30, 2nd number: 1 17/28
21/30 + 45/28 is 323/140.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 30 and 28 is 420
Next, find the equivalent fraction of both fractional numbers with denominator 420 - For the 1st fraction, since 30 × 14 = 420,
21/30 = 21 × 14/30 × 14 = 294/420 - Likewise, for the 2nd fraction, since 28 × 15 = 420,
45/28 = 45 × 15/28 × 15 = 675/420 - Add the two like fractions:
294/420 + 675/420 = 294 + 675/420 = 969/420 - 969/420 simplified gives 323/140
- So, 21/30 + 45/28 = 323/140
In mixed form: 243/140
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 42/30+45/28 21/30+90/28 21/60+45/28 21/30+45/56 63/30+45/28 21/90+45/28 21/30+45/84