Add 75/54 and 28/56, Solve 1 21/54 + 28/56 as a fraction

Add 75/54 and 28/56

1^st number: 1 21/54, 2^nd number: 28/56

75/54 + 28/56 is 17/9.

Find the least common denominator or LCM of the two denominators:
LCM of 54 and 56 is 1512

Next, find the equivalent fraction of both fractional numbers with denominator 1512
For the 1st fraction, since 54 × 28 = 1512,
75/54 = 75 × 28/54 × 28 = 2100/1512
Likewise, for the 2nd fraction, since 56 × 27 = 1512,
28/56 = 28 × 27/56 × 27 = 756/1512
Add the two like fractions:
2100/1512 + 756/1512 = 2100 + 756/1512 = 2856/1512
2856/1512 simplified gives 17/9
So, 75/54 + 28/56 = 17/9
In mixed form: 18/9

MathStep (Works offline)

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