Add 54/75 and 40/56, Solve 54/75 + 40/56 as a fraction

Add 54/75 and 40/56

54/75 + 40/56 is 251/175.

Find the least common denominator or LCM of the two denominators:
LCM of 75 and 56 is 4200

Next, find the equivalent fraction of both fractional numbers with denominator 4200
For the 1st fraction, since 75 × 56 = 4200,
54/75 = 54 × 56/75 × 56 = 3024/4200
Likewise, for the 2nd fraction, since 56 × 75 = 4200,
40/56 = 40 × 75/56 × 75 = 3000/4200
Add the two like fractions:
3024/4200 + 3000/4200 = 3024 + 3000/4200 = 6024/4200
6024/4200 simplified gives 251/175
So, 54/75 + 40/56 = 251/175
In mixed form: 176/175

MathStep (Works offline)

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