Add 40/42 and 9/20
40/42 + 9/20 is 589/420.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 42 and 20 is 420
Next, find the equivalent fraction of both fractional numbers with denominator 420 - For the 1st fraction, since 42 × 10 = 420,
40/42 = 40 × 10/42 × 10 = 400/420 - Likewise, for the 2nd fraction, since 20 × 21 = 420,
9/20 = 9 × 21/20 × 21 = 189/420 - Add the two like fractions:
400/420 + 189/420 = 400 + 189/420 = 589/420 - So, 40/42 + 9/20 = 589/420
In mixed form: 1169/420
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 80/42+9/20 40/42+18/20 40/84+9/20 40/42+9/40 40/42+27/20 40/42+9/60 40/42+45/20 40/42+63/20