Add 75/20 and 10/42, Solve 3 15/20 + 10/42 as a fraction

Add 75/20 and 10/42

1^st number: 3 15/20, 2^nd number: 10/42

75/20 + 10/42 is 335/84.

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,
75/20 = 75 × 21/20 × 21 = 1575/420
Likewise, for the 2nd fraction, since 42 × 10 = 420,
10/42 = 10 × 10/42 × 10 = 100/420
Add the two like fractions:
1575/420 + 100/420 = 1575 + 100/420 = 1675/420
1675/420 simplified gives 335/84
So, 75/20 + 10/42 = 335/84
In mixed form: 383/84

MathStep (Works offline)

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