Add 75/14 and 6/63, Solve 5 5/14 + 6/63 as a fraction

Add 75/14 and 6/63

1^st number: 5 5/14, 2^nd number: 6/63

75/14 + 6/63 is 229/42.

Find the least common denominator or LCM of the two denominators:
LCM of 14 and 63 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 63 × 2 = 126,
6/63 = 6 × 2/63 × 2 = 12/126
Add the two like fractions:
675/126 + 12/126 = 675 + 12/126 = 687/126
687/126 simplified gives 229/42
So, 75/14 + 6/63 = 229/42
In mixed form: 519/42

MathStep (Works offline)

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