Add 35/60 and 45/21
1st number: 35/60, 2nd number: 2 3/21
35/60 + 45/21 is 229/84.
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,
35/60 = 35 × 7/60 × 7 = 245/420 - Likewise, for the 2nd fraction, since 21 × 20 = 420,
45/21 = 45 × 20/21 × 20 = 900/420 - Add the two like fractions:
245/420 + 900/420 = 245 + 900/420 = 1145/420 - 1145/420 simplified gives 229/84
- So, 35/60 + 45/21 = 229/84
In mixed form: 261/84
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 70/60+45/21 35/60+90/21 35/60+45/42 35/60+45/63