Question

8 george thinks of an equivalent fraction for 23, such that the sum of its numerator and denominator is 45. harper thinks of an equivalent fraction for 511, such that the difference between its numerator and denominator is 30. can you find the sum of the denominators of the two fractions?

Answer 1

To find equivalent fractions for 23 and 511, we can use the given conditions of the sum or difference between their numerator and denominator. However, since both fractions have an infinite number of equivalent fractions, we cannot determine the sum of their denominators.

Step-by-step explanation:

To find equivalent fractions for 23 and 511, we need to consider the given conditions. For the first fraction, the sum of the numerator and denominator should be 45.

Let's call the numerator of the new fraction x. Then the denominator would be 45 - x.

So, we have the equation x + (45 - x) = 45, which simplifies to 45 = 45. This means x can be any value, resulting in an infinite number of equivalent fractions.

For the second fraction, the difference between the numerator and denominator should be 30.

Let's call the numerator of the new fraction y. Then the denominator would be y - 30. So, we have the equation y - (y - 30) = 30, which simplifies to 30 = 30.

This means y can be any value, resulting in an infinite number of equivalent fractions as well.

Since both fractions have an infinite number of equivalent fractions, we cannot determine the sum of their denominators.