Add 45/75 and 42/54
45/75 + 42/54 is 62/45.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 75 and 54 is 1350
Next, find the equivalent fraction of both fractional numbers with denominator 1350 - For the 1st fraction, since 75 × 18 = 1350,
45/75 = 45 × 18/75 × 18 = 810/1350 - Likewise, for the 2nd fraction, since 54 × 25 = 1350,
42/54 = 42 × 25/54 × 25 = 1050/1350 - Add the two like fractions:
810/1350 + 1050/1350 = 810 + 1050/1350 = 1860/1350 - 1860/1350 simplified gives 62/45
- So, 45/75 + 42/54 = 62/45
In mixed form: 117/45
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 90/75+42/54 45/75+84/54