Add 40/75 and 7/24
40/75 + 7/24 is 33/40.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 75 and 24 is 600
Next, find the equivalent fraction of both fractional numbers with denominator 600 - For the 1st fraction, since 75 × 8 = 600,
40/75 = 40 × 8/75 × 8 = 320/600 - Likewise, for the 2nd fraction, since 24 × 25 = 600,
7/24 = 7 × 25/24 × 25 = 175/600 - Add the two like fractions:
320/600 + 175/600 = 320 + 175/600 = 495/600 - 495/600 simplified gives 33/40
- So, 40/75 + 7/24 = 33/40
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 80/75+7/24 40/75+14/24 40/75+7/48 40/75+21/24 40/75+7/72 40/75+35/24 40/75+49/24