Add 10/70 and 35/18, Solve 10/70 + 1 17/18 as a fraction

Add 10/70 and 35/18

1^st number: 10/70, 2^nd number: 1 17/18

10/70 + 35/18 is 263/126.

Find the least common denominator or LCM of the two denominators:
LCM of 70 and 18 is 630

Next, find the equivalent fraction of both fractional numbers with denominator 630
For the 1st fraction, since 70 × 9 = 630,
10/70 = 10 × 9/70 × 9 = 90/630
Likewise, for the 2nd fraction, since 18 × 35 = 630,
35/18 = 35 × 35/18 × 35 = 1225/630
Add the two like fractions:
90/630 + 1225/630 = 90 + 1225/630 = 1315/630
1315/630 simplified gives 263/126
So, 10/70 + 35/18 = 263/126
In mixed form: 211/126

MathStep (Works offline)

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