Add 5/75 and 42/10, Solve 5/75 + 4 2/10 as a fraction

Add 5/75 and 42/10

1^st number: 5/75, 2^nd number: 4 2/10

5/75 + 42/10 is 64/15.

Find the least common denominator or LCM of the two denominators:
LCM of 75 and 10 is 150

Next, find the equivalent fraction of both fractional numbers with denominator 150
For the 1st fraction, since 75 × 2 = 150,
5/75 = 5 × 2/75 × 2 = 10/150
Likewise, for the 2nd fraction, since 10 × 15 = 150,
42/10 = 42 × 15/10 × 15 = 630/150
Add the two like fractions:
10/150 + 630/150 = 10 + 630/150 = 640/150
640/150 simplified gives 64/15
So, 5/75 + 42/10 = 64/15
In mixed form: 44/15

MathStep (Works offline)

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