Add 45/75 and 7/40
45/75 + 7/40 is 31/40.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 75 and 40 is 600
Next, find the equivalent fraction of both fractional numbers with denominator 600 - For the 1st fraction, since 75 × 8 = 600,
45/75 = 45 × 8/75 × 8 = 360/600 - Likewise, for the 2nd fraction, since 40 × 15 = 600,
7/40 = 7 × 15/40 × 15 = 105/600 - Add the two like fractions:
360/600 + 105/600 = 360 + 105/600 = 465/600 - 465/600 simplified gives 31/40
- So, 45/75 + 7/40 = 31/40
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 90/75+7/40 45/75+14/40 45/75+7/80 45/75+21/40 45/75+35/40 45/75+49/40