Add 45/60 and 9/21
45/60 + 9/21 is 33/28.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 60 and 21 is 420
Next, find the equivalent fraction of both fractional numbers with denominator 420 - For the 1st fraction, since 60 × 7 = 420,
45/60 = 45 × 7/60 × 7 = 315/420 - Likewise, for the 2nd fraction, since 21 × 20 = 420,
9/21 = 9 × 20/21 × 20 = 180/420 - Add the two like fractions:
315/420 + 180/420 = 315 + 180/420 = 495/420 - 495/420 simplified gives 33/28
- So, 45/60 + 9/21 = 33/28
In mixed form: 15/28
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 90/60+9/21 45/60+18/21 45/60+9/42 45/60+27/21 45/60+9/63 45/60+45/21 45/60+63/21