Add 14/21 and 81/4, Solve 14/21 + 20 1/4 as a fraction

Add 14/21 and 81/4

1^st number: 14/21, 2^nd number: 20 1/4

14/21 + 81/4 is 251/12.

Find the least common denominator or LCM of the two denominators:
LCM of 21 and 4 is 84

Next, find the equivalent fraction of both fractional numbers with denominator 84
For the 1st fraction, since 21 × 4 = 84,
14/21 = 14 × 4/21 × 4 = 56/84
Likewise, for the 2nd fraction, since 4 × 21 = 84,
81/4 = 81 × 21/4 × 21 = 1701/84
Add the two like fractions:
56/84 + 1701/84 = 56 + 1701/84 = 1757/84
1757/84 simplified gives 251/12
So, 14/21 + 81/4 = 251/12
In mixed form: 2011/12

MathStep (Works offline)

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