Add 21/75 and 40/48
21/75 + 40/48 is 167/150.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 75 and 48 is 1200
Next, find the equivalent fraction of both fractional numbers with denominator 1200 - For the 1st fraction, since 75 × 16 = 1200,
21/75 = 21 × 16/75 × 16 = 336/1200 - Likewise, for the 2nd fraction, since 48 × 25 = 1200,
40/48 = 40 × 25/48 × 25 = 1000/1200 - Add the two like fractions:
336/1200 + 1000/1200 = 336 + 1000/1200 = 1336/1200 - 1336/1200 simplified gives 167/150
- So, 21/75 + 40/48 = 167/150
In mixed form: 117/150
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 42/75+40/48 21/75+80/48 21/75+40/96 63/75+40/48