Add 27/45 and 35/30, Solve 27/45 + 1 5/30 as a fraction

Add 27/45 and 35/30

1^st number: 27/45, 2^nd number: 1 5/30

27/45 + 35/30 is 53/30.

Find the least common denominator or LCM of the two denominators:
LCM of 45 and 30 is 90

Next, find the equivalent fraction of both fractional numbers with denominator 90
For the 1st fraction, since 45 × 2 = 90,
27/45 = 27 × 2/45 × 2 = 54/90
Likewise, for the 2nd fraction, since 30 × 3 = 90,
35/30 = 35 × 3/30 × 3 = 105/90
Add the two like fractions:
54/90 + 105/90 = 54 + 105/90 = 159/90
159/90 simplified gives 53/30
So, 27/45 + 35/30 = 53/30
In mixed form: 123/30

MathStep (Works offline)

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