Add 10/18 and 45/14, Solve 10/18 + 3 3/14 as a fraction

Add 10/18 and 45/14

1^st number: 10/18, 2^nd number: 3 3/14

10/18 + 45/14 is 475/126.

Find the least common denominator or LCM of the two denominators:
LCM of 18 and 14 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 14 × 9 = 126,
45/14 = 45 × 9/14 × 9 = 405/126
Add the two like fractions:
70/126 + 405/126 = 70 + 405/126 = 475/126
So, 10/18 + 45/14 = 475/126
In mixed form: 397/126

MathStep (Works offline)

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