Add 10/42 and 27/18, Solve 10/42 + 1 9/18 as a fraction

Add 10/42 and 27/18

1^st number: 10/42, 2^nd number: 1 9/18

10/42 + 27/18 is 73/42.

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,
27/18 = 27 × 7/18 × 7 = 189/126
Add the two like fractions:
30/126 + 189/126 = 30 + 189/126 = 219/126
219/126 simplified gives 73/42
So, 10/42 + 27/18 = 73/42
In mixed form: 131/42

MathStep (Works offline)

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