Add 30/27 and 15/40, Solve 1 3/27 + 15/40 as a fraction

Add 30/27 and 15/40

1^st number: 1 3/27, 2^nd number: 15/40

30/27 + 15/40 is 107/72.

Find the least common denominator or LCM of the two denominators:
LCM of 27 and 40 is 1080

Next, find the equivalent fraction of both fractional numbers with denominator 1080
For the 1st fraction, since 27 × 40 = 1080,
30/27 = 30 × 40/27 × 40 = 1200/1080
Likewise, for the 2nd fraction, since 40 × 27 = 1080,
15/40 = 15 × 27/40 × 27 = 405/1080
Add the two like fractions:
1200/1080 + 405/1080 = 1200 + 405/1080 = 1605/1080
1605/1080 simplified gives 107/72
So, 30/27 + 15/40 = 107/72
In mixed form: 135/72

MathStep (Works offline)

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