Answer: 0.215=43/200 | 0.4=2/5
Explanation:
To convert the common factors 0.215 and 0.4 to fractions with a common denominator, we can multiply both numbers by 1000, which is the least common multiple of 215 and 400:
0.215 * 1000 / 1000 = 215 / 1000
0.4 * 1000 / 1000 = 400 / 1000
Now both numbers have the same denominator, and we can compare them more easily. In this case, we can see that 215/1000 is smaller than 400/1000, so we can simplify both fractions by dividing them by their greatest common factor of 5:
215/1000 = 43/200
400/1000 = 2/5
So the common factors 0.215 and 0.4 can be expressed as 43/200 and 2/5, respectively.