Add 40/75 and 7/16
40/75 + 7/16 is 233/240.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 75 and 16 is 1200
Next, find the equivalent fraction of both fractional numbers with denominator 1200 - For the 1st fraction, since 75 × 16 = 1200,
40/75 = 40 × 16/75 × 16 = 640/1200 - Likewise, for the 2nd fraction, since 16 × 75 = 1200,
7/16 = 7 × 75/16 × 75 = 525/1200 - Add the two like fractions:
640/1200 + 525/1200 = 640 + 525/1200 = 1165/1200 - 1165/1200 simplified gives 233/240
- So, 40/75 + 7/16 = 233/240
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 80/75+7/16 40/75+14/16 40/75+7/32 40/75+21/16 40/75+7/48 40/75+35/16 40/75+7/80 40/75+49/16