Add 54/75 and 42/45
54/75 + 42/45 is 124/75.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 75 and 45 is 225
Next, find the equivalent fraction of both fractional numbers with denominator 225 - For the 1st fraction, since 75 × 3 = 225,
54/75 = 54 × 3/75 × 3 = 162/225 - Likewise, for the 2nd fraction, since 45 × 5 = 225,
42/45 = 42 × 5/45 × 5 = 210/225 - Add the two like fractions:
162/225 + 210/225 = 162 + 210/225 = 372/225 - 372/225 simplified gives 124/75
- So, 54/75 + 42/45 = 124/75
In mixed form: 149/75
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 54/75+84/45 54/75+42/90