Add 14/42 and 72/63, Solve 14/42 + 1 9/63 as a fraction

Add 14/42 and 72/63

1^st number: 14/42, 2^nd number: 1 9/63

14/42 + 72/63 is 31/21.

Find the least common denominator or LCM of the two denominators:
LCM of 42 and 63 is 126

Next, find the equivalent fraction of both fractional numbers with denominator 126
For the 1st fraction, since 42 × 3 = 126,
14/42 = 14 × 3/42 × 3 = 42/126
Likewise, for the 2nd fraction, since 63 × 2 = 126,
72/63 = 72 × 2/63 × 2 = 144/126
Add the two like fractions:
42/126 + 144/126 = 42 + 144/126 = 186/126
186/126 simplified gives 31/21
So, 14/42 + 72/63 = 31/21
In mixed form: 110/21

MathStep (Works offline)

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