Add 75/20 and 35/21
1st number: 3 15/20, 2nd number: 1 14/21
75/20 + 35/21 is 65/12.
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,
75/20 = 75 × 21/20 × 21 = 1575/420 - Likewise, for the 2nd fraction, since 21 × 20 = 420,
35/21 = 35 × 20/21 × 20 = 700/420 - Add the two like fractions:
1575/420 + 700/420 = 1575 + 700/420 = 2275/420 - 2275/420 simplified gives 65/12
- So, 75/20 + 35/21 = 65/12
In mixed form: 55/12
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 75/20+70/21 75/40+35/21 75/20+35/42 75/60+35/21 75/20+35/63