Add 3/20 and 75/42, Solve 3/20 + 1 33/42 as a fraction

Add 3/20 and 75/42

1^st number: 3/20, 2^nd number: 1 33/42

3/20 + 75/42 is 271/140.

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,
3/20 = 3 × 21/20 × 21 = 63/420
Likewise, for the 2nd fraction, since 42 × 10 = 420,
75/42 = 75 × 10/42 × 10 = 750/420
Add the two like fractions:
63/420 + 750/420 = 63 + 750/420 = 813/420
813/420 simplified gives 271/140
So, 3/20 + 75/42 = 271/140
In mixed form: 1131/140

MathStep (Works offline)

Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad