Add 45/14 and 2/27, Solve 3 3/14 + 2/27 as a fraction

Add 45/14 and 2/27

1^st number: 3 3/14, 2^nd number: 2/27

45/14 + 2/27 is 1243/378.

Find the least common denominator or LCM of the two denominators:
LCM of 14 and 27 is 378

Next, find the equivalent fraction of both fractional numbers with denominator 378
For the 1st fraction, since 14 × 27 = 378,
45/14 = 45 × 27/14 × 27 = 1215/378
Likewise, for the 2nd fraction, since 27 × 14 = 378,
2/27 = 2 × 14/27 × 14 = 28/378
Add the two like fractions:
1215/378 + 28/378 = 1215 + 28/378 = 1243/378
So, 45/14 + 2/27 = 1243/378
In mixed form: 3109/378

MathStep (Works offline)

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