Add 10/18 and 70/42, Solve 10/18 + 1 28/42 as a fraction

Add 10/18 and 70/42

1^st number: 10/18, 2^nd number: 1 28/42

10/18 + 70/42 is 20/9.

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

Next, find the equivalent fraction of both fractional numbers with denominator 126
For the 1st fraction, since 18 × 7 = 126,
10/18 = 10 × 7/18 × 7 = 70/126
Likewise, for the 2nd fraction, since 42 × 3 = 126,
70/42 = 70 × 3/42 × 3 = 210/126
Add the two like fractions:
70/126 + 210/126 = 70 + 210/126 = 280/126
280/126 simplified gives 20/9
So, 10/18 + 70/42 = 20/9
In mixed form: 22/9

MathStep (Works offline)

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