Add 30/54 and 30/16, Solve 30/54 + 1 14/16 as a fraction

Add 30/54 and 30/16

1^st number: 30/54, 2^nd number: 1 14/16

30/54 + 30/16 is 175/72.

Find the least common denominator or LCM of the two denominators:
LCM of 54 and 16 is 432

Next, find the equivalent fraction of both fractional numbers with denominator 432
For the 1st fraction, since 54 × 8 = 432,
30/54 = 30 × 8/54 × 8 = 240/432
Likewise, for the 2nd fraction, since 16 × 27 = 432,
30/16 = 30 × 27/16 × 27 = 810/432
Add the two like fractions:
240/432 + 810/432 = 240 + 810/432 = 1050/432
1050/432 simplified gives 175/72
So, 30/54 + 30/16 = 175/72
In mixed form: 231/72

MathStep (Works offline)

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