Add 42/14 and 1/27, Solve 3 0/14 + 1/27 as a fraction

Add 42/14 and 1/27

1^st number: 3 0/14, 2^nd number: 1/27

42/14 + 1/27 is 82/27.

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,
42/14 = 42 × 27/14 × 27 = 1134/378
Likewise, for the 2nd fraction, since 27 × 14 = 378,
1/27 = 1 × 14/27 × 14 = 14/378
Add the two like fractions:
1134/378 + 14/378 = 1134 + 14/378 = 1148/378
1148/378 simplified gives 82/27
So, 42/14 + 1/27 = 82/27
In mixed form: 31/27

MathStep (Works offline)

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