Add 48/75 and 40/72
48/75 + 40/72 is 269/225.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 75 and 72 is 1800
Next, find the equivalent fraction of both fractional numbers with denominator 1800 - For the 1st fraction, since 75 × 24 = 1800,
48/75 = 48 × 24/75 × 24 = 1152/1800 - Likewise, for the 2nd fraction, since 72 × 25 = 1800,
40/72 = 40 × 25/72 × 25 = 1000/1800 - Add the two like fractions:
1152/1800 + 1000/1800 = 1152 + 1000/1800 = 2152/1800 - 2152/1800 simplified gives 269/225
- So, 48/75 + 40/72 = 269/225
In mixed form: 144/225
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 96/75+40/72 48/75+80/72