Add 40/54 and 40/75
40/54 + 40/75 is 172/135.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 54 and 75 is 1350
Next, find the equivalent fraction of both fractional numbers with denominator 1350 - For the 1st fraction, since 54 × 25 = 1350,
40/54 = 40 × 25/54 × 25 = 1000/1350 - Likewise, for the 2nd fraction, since 75 × 18 = 1350,
40/75 = 40 × 18/75 × 18 = 720/1350 - Add the two like fractions:
1000/1350 + 720/1350 = 1000 + 720/1350 = 1720/1350 - 1720/1350 simplified gives 172/135
- So, 40/54 + 40/75 = 172/135
In mixed form: 137/135
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 80/54+40/75 40/54+80/75