Add 81/54 and 70/56, Solve 1 27/54 + 1 14/56 as a fraction

Add 81/54 and 70/56

1^st number: 1 27/54, 2^nd number: 1 14/56

81/54 + 70/56 is 11/4.

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,
81/54 = 81 × 28/54 × 28 = 2268/1512
Likewise, for the 2nd fraction, since 56 × 27 = 1512,
70/56 = 70 × 27/56 × 27 = 1890/1512
Add the two like fractions:
2268/1512 + 1890/1512 = 2268 + 1890/1512 = 4158/1512
4158/1512 simplified gives 11/4
So, 81/54 + 70/56 = 11/4
In mixed form: 23/4

MathStep (Works offline)

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