Add 84/5 and 36/27, Solve 16 4/5 + 1 9/27 as a fraction

Add 84/5 and 36/27

1^st number: 16 4/5, 2^nd number: 1 9/27

84/5 + 36/27 is 272/15.

Find the least common denominator or LCM of the two denominators:
LCM of 5 and 27 is 135

Next, find the equivalent fraction of both fractional numbers with denominator 135
For the 1st fraction, since 5 × 27 = 135,
84/5 = 84 × 27/5 × 27 = 2268/135
Likewise, for the 2nd fraction, since 27 × 5 = 135,
36/27 = 36 × 5/27 × 5 = 180/135
Add the two like fractions:
2268/135 + 180/135 = 2268 + 180/135 = 2448/135
2448/135 simplified gives 272/15
So, 84/5 + 36/27 = 272/15
In mixed form: 182/15

MathStep (Works offline)

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