Add 28/75 and 40/42
28/75 + 40/42 is 232/175.
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,
28/75 = 28 × 14/75 × 14 = 392/1050 - Likewise, for the 2nd fraction, since 42 × 25 = 1050,
40/42 = 40 × 25/42 × 25 = 1000/1050 - Add the two like fractions:
392/1050 + 1000/1050 = 392 + 1000/1050 = 1392/1050 - 1392/1050 simplified gives 232/175
- So, 28/75 + 40/42 = 232/175
In mixed form: 157/175
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 56/75+40/42 28/75+80/42 28/75+40/84 84/75+40/42