Add 14/48 and 35/27, Solve 14/48 + 1 8/27 as a fraction

Add 14/48 and 35/27

1^st number: 14/48, 2^nd number: 1 8/27

14/48 + 35/27 is 343/216.

Find the least common denominator or LCM of the two denominators:
LCM of 48 and 27 is 432

Next, find the equivalent fraction of both fractional numbers with denominator 432
For the 1st fraction, since 48 × 9 = 432,
14/48 = 14 × 9/48 × 9 = 126/432
Likewise, for the 2nd fraction, since 27 × 16 = 432,
35/27 = 35 × 16/27 × 16 = 560/432
Add the two like fractions:
126/432 + 560/432 = 126 + 560/432 = 686/432
686/432 simplified gives 343/216
So, 14/48 + 35/27 = 343/216
In mixed form: 1127/216

MathStep (Works offline)

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