Add 35/60 and 21/42
35/60 + 21/42 is 13/12.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 60 and 42 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 42 × 10 = 420,
21/42 = 21 × 10/42 × 10 = 210/420 - Add the two like fractions:
245/420 + 210/420 = 245 + 210/420 = 455/420 - 455/420 simplified gives 13/12
- So, 35/60 + 21/42 = 13/12
In mixed form: 11/12
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 70/60+21/42 35/60+21/84 35/60+63/42