Add 40/42 and 50/75
40/42 + 50/75 is 34/21.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 42 and 75 is 1050
Next, find the equivalent fraction of both fractional numbers with denominator 1050 - For the 1st fraction, since 42 × 25 = 1050,
40/42 = 40 × 25/42 × 25 = 1000/1050 - Likewise, for the 2nd fraction, since 75 × 14 = 1050,
50/75 = 50 × 14/75 × 14 = 700/1050 - Add the two like fractions:
1000/1050 + 700/1050 = 1000 + 700/1050 = 1700/1050 - 1700/1050 simplified gives 34/21
- So, 40/42 + 50/75 = 34/21
In mixed form: 113/21
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 80/42+50/75 40/84+50/75