Add 9/20 and 75/42
1st number: 9/20, 2nd number: 1 33/42
9/20 + 75/42 is 313/140.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 20 and 42 is 420
Next, find the equivalent fraction of both fractional numbers with denominator 420 - For the 1st fraction, since 20 × 21 = 420,
9/20 = 9 × 21/20 × 21 = 189/420 - Likewise, for the 2nd fraction, since 42 × 10 = 420,
75/42 = 75 × 10/42 × 10 = 750/420 - Add the two like fractions:
189/420 + 750/420 = 189 + 750/420 = 939/420 - 939/420 simplified gives 313/140
- So, 9/20 + 75/42 = 313/140
In mixed form: 233/140
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 18/20+75/42 9/40+75/42 9/20+75/84 27/20+75/42 9/60+75/42 45/20+75/42 63/20+75/42