Add 75/14 and 5/18, Solve 5 5/14 + 5/18 as a fraction

Add 75/14 and 5/18

1^st number: 5 5/14, 2^nd number: 5/18

75/14 + 5/18 is 355/63.

Find the least common denominator or LCM of the two denominators:
LCM of 14 and 18 is 126

Next, find the equivalent fraction of both fractional numbers with denominator 126
For the 1st fraction, since 14 × 9 = 126,
75/14 = 75 × 9/14 × 9 = 675/126
Likewise, for the 2nd fraction, since 18 × 7 = 126,
5/18 = 5 × 7/18 × 7 = 35/126
Add the two like fractions:
675/126 + 35/126 = 675 + 35/126 = 710/126
710/126 simplified gives 355/63
So, 75/14 + 5/18 = 355/63
In mixed form: 540/63

MathStep (Works offline)

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