Add 40/75 and 45/42
1st number: 40/75, 2nd number: 1 3/42
40/75 + 45/42 is 337/210.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 75 and 42 is 1050
Next, find the equivalent fraction of both fractional numbers with denominator 1050 - For the 1st fraction, since 75 × 14 = 1050,
40/75 = 40 × 14/75 × 14 = 560/1050 - Likewise, for the 2nd fraction, since 42 × 25 = 1050,
45/42 = 45 × 25/42 × 25 = 1125/1050 - Add the two like fractions:
560/1050 + 1125/1050 = 560 + 1125/1050 = 1685/1050 - 1685/1050 simplified gives 337/210
- So, 40/75 + 45/42 = 337/210
In mixed form: 1127/210
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 80/75+45/42 40/75+90/42 40/75+45/84