Add 10/20 and 36/21
1st number: 10/20, 2nd number: 1 15/21
10/20 + 36/21 is 31/14.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 20 and 21 is 420
Next, find the equivalent fraction of both fractional numbers with denominator 420 - For the 1st fraction, since 20 × 21 = 420,
10/20 = 10 × 21/20 × 21 = 210/420 - Likewise, for the 2nd fraction, since 21 × 20 = 420,
36/21 = 36 × 20/21 × 20 = 720/420 - Add the two like fractions:
210/420 + 720/420 = 210 + 720/420 = 930/420 - 930/420 simplified gives 31/14
- So, 10/20 + 36/21 = 31/14
In mixed form: 23/14
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 10/20+72/21 10/40+36/21 10/20+36/42 30/20+36/21 10/60+36/21 10/20+36/63 50/20+36/21 70/20+36/21