Add 27/84 and 24/5, Solve 27/84 + 4 4/5 as a fraction

Add 27/84 and 24/5

1^st number: 27/84, 2^nd number: 4 4/5

27/84 + 24/5 is 717/140.

Find the least common denominator or LCM of the two denominators:
LCM of 84 and 5 is 420

Next, find the equivalent fraction of both fractional numbers with denominator 420
For the 1st fraction, since 84 × 5 = 420,
27/84 = 27 × 5/84 × 5 = 135/420
Likewise, for the 2nd fraction, since 5 × 84 = 420,
24/5 = 24 × 84/5 × 84 = 2016/420
Add the two like fractions:
135/420 + 2016/420 = 135 + 2016/420 = 2151/420
2151/420 simplified gives 717/140
So, 27/84 + 24/5 = 717/140
In mixed form: 517/140

MathStep (Works offline)

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