Add 30/27 and 40/45, Solve 1 3/27 + 40/45 as a fraction

Add 30/27 and 40/45

1^st number: 1 3/27, 2^nd number: 40/45

30/27 + 40/45 is 2/1.

Find the least common denominator or LCM of the two denominators:
LCM of 27 and 45 is 135

Next, find the equivalent fraction of both fractional numbers with denominator 135
For the 1st fraction, since 27 × 5 = 135,
30/27 = 30 × 5/27 × 5 = 150/135
Likewise, for the 2nd fraction, since 45 × 3 = 135,
40/45 = 40 × 3/45 × 3 = 120/135
Add the two like fractions:
150/135 + 120/135 = 150 + 120/135 = 270/135
270/135 simplified gives 2/1
So, 30/27 + 40/45 = 2/1

MathStep (Works offline)

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