Add 90/27 and 27/90, Solve 3 9/27 + 27/90 as a fraction

Add 90/27 and 27/90

1^st number: 3 9/27, 2^nd number: 27/90

90/27 + 27/90 is 109/30.

Find the least common denominator or LCM of the two denominators:
LCM of 27 and 90 is 270

Next, find the equivalent fraction of both fractional numbers with denominator 270
For the 1st fraction, since 27 × 10 = 270,
90/27 = 90 × 10/27 × 10 = 900/270
Likewise, for the 2nd fraction, since 90 × 3 = 270,
27/90 = 27 × 3/90 × 3 = 81/270
Add the two like fractions:
900/270 + 81/270 = 900 + 81/270 = 981/270
981/270 simplified gives 109/30
So, 90/27 + 27/90 = 109/30
In mixed form: 319/30

MathStep (Works offline)

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