Add 84/27 and 2/5, Solve 3 3/27 + 2/5 as a fraction

Add 84/27 and 2/5

1^st number: 3 3/27, 2^nd number: 2/5

84/27 + 2/5 is 158/45.

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

Next, find the equivalent fraction of both fractional numbers with denominator 135
For the 1st fraction, since 27 × 5 = 135,
84/27 = 84 × 5/27 × 5 = 420/135
Likewise, for the 2nd fraction, since 5 × 27 = 135,
2/5 = 2 × 27/5 × 27 = 54/135
Add the two like fractions:
420/135 + 54/135 = 420 + 54/135 = 474/135
474/135 simplified gives 158/45
So, 84/27 + 2/5 = 158/45
In mixed form: 323/45

MathStep (Works offline)

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