Add 30/27 and 14/42, Solve 1 3/27 + 14/42 as a fraction

Add 30/27 and 14/42

1^st number: 1 3/27, 2^nd number: 14/42

30/27 + 14/42 is 13/9.

Find the least common denominator or LCM of the two denominators:
LCM of 27 and 42 is 378

Next, find the equivalent fraction of both fractional numbers with denominator 378
For the 1st fraction, since 27 × 14 = 378,
30/27 = 30 × 14/27 × 14 = 420/378
Likewise, for the 2nd fraction, since 42 × 9 = 378,
14/42 = 14 × 9/42 × 9 = 126/378
Add the two like fractions:
420/378 + 126/378 = 420 + 126/378 = 546/378
546/378 simplified gives 13/9
So, 30/27 + 14/42 = 13/9
In mixed form: 14/9

MathStep (Works offline)

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