Add 10/42 and 75/18, Solve 10/42 + 4 3/18 as a fraction

Add 10/42 and 75/18

1^st number: 10/42, 2^nd number: 4 3/18

10/42 + 75/18 is 185/42.

Find the least common denominator or LCM of the two denominators:
LCM of 42 and 18 is 126

Next, find the equivalent fraction of both fractional numbers with denominator 126
For the 1st fraction, since 42 × 3 = 126,
10/42 = 10 × 3/42 × 3 = 30/126
Likewise, for the 2nd fraction, since 18 × 7 = 126,
75/18 = 75 × 7/18 × 7 = 525/126
Add the two like fractions:
30/126 + 525/126 = 30 + 525/126 = 555/126
555/126 simplified gives 185/42
So, 10/42 + 75/18 = 185/42
In mixed form: 417/42

MathStep (Works offline)

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