Add 10/21 and 42/36
1st number: 10/21, 2nd number: 1 6/36
10/21 + 42/36 is 23/14.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 21 and 36 is 252
Next, find the equivalent fraction of both fractional numbers with denominator 252 - For the 1st fraction, since 21 × 12 = 252,
10/21 = 10 × 12/21 × 12 = 120/252 - Likewise, for the 2nd fraction, since 36 × 7 = 252,
42/36 = 42 × 7/36 × 7 = 294/252 - Add the two like fractions:
120/252 + 294/252 = 120 + 294/252 = 414/252 - 414/252 simplified gives 23/14
- So, 10/21 + 42/36 = 23/14
In mixed form: 19/14
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 20/21+42/36 10/21+84/36 10/42+42/36 10/21+42/72 30/21+42/36 10/63+42/36 50/21+42/36 70/21+42/36