Add 21/54 and 75/14, Solve 21/54 + 5 5/14 as a fraction

Add 21/54 and 75/14

1^st number: 21/54, 2^nd number: 5 5/14

21/54 + 75/14 is 362/63.

Find the least common denominator or LCM of the two denominators:
LCM of 54 and 14 is 378

Next, find the equivalent fraction of both fractional numbers with denominator 378
For the 1st fraction, since 54 × 7 = 378,
21/54 = 21 × 7/54 × 7 = 147/378
Likewise, for the 2nd fraction, since 14 × 27 = 378,
75/14 = 75 × 27/14 × 27 = 2025/378
Add the two like fractions:
147/378 + 2025/378 = 147 + 2025/378 = 2172/378
2172/378 simplified gives 362/63
So, 21/54 + 75/14 = 362/63
In mixed form: 547/63

MathStep (Works offline)

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