Add 27/20 and 5/84, Solve 1 7/20 + 5/84 as a fraction

Add 27/20 and 5/84

1^st number: 1 7/20, 2^nd number: 5/84

27/20 + 5/84 is 148/105.

Find the least common denominator or LCM of the two denominators:
LCM of 20 and 84 is 420

Next, find the equivalent fraction of both fractional numbers with denominator 420
For the 1st fraction, since 20 × 21 = 420,
27/20 = 27 × 21/20 × 21 = 567/420
Likewise, for the 2nd fraction, since 84 × 5 = 420,
5/84 = 5 × 5/84 × 5 = 25/420
Add the two like fractions:
567/420 + 25/420 = 567 + 25/420 = 592/420
592/420 simplified gives 148/105
So, 27/20 + 5/84 = 148/105
In mixed form: 143/105

MathStep (Works offline)

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