Add 10/75 and 70/18, Solve 10/75 + 3 16/18 as a fraction

Add 10/75 and 70/18

1^st number: 10/75, 2^nd number: 3 16/18

10/75 + 70/18 is 181/45.

Find the least common denominator or LCM of the two denominators:
LCM of 75 and 18 is 450

Next, find the equivalent fraction of both fractional numbers with denominator 450
For the 1st fraction, since 75 × 6 = 450,
10/75 = 10 × 6/75 × 6 = 60/450
Likewise, for the 2nd fraction, since 18 × 25 = 450,
70/18 = 70 × 25/18 × 25 = 1750/450
Add the two like fractions:
60/450 + 1750/450 = 60 + 1750/450 = 1810/450
1810/450 simplified gives 181/45
So, 10/75 + 70/18 = 181/45
In mixed form: 41/45

MathStep (Works offline)

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