Correct Answer:
B. 25/40
The correct answer is 25/40. To convert a fraction to an equivalent fraction with a different denominator, you need to find a factor by which the original denominator was multiplied to get the new denominator. Then, you multiply the original numerator by the same factor to maintain the fraction's value. In this case, the original fraction is 5/8, and the desired new denominator is 40. To find the multiplying factor, we divide the new denominator by the original denominator: 40 ÷ 8 = 5. Now, we multiply both the numerator and the denominator of the original fraction by this factor of 5: (5 × 5) / (8 × 5) = 25/40. This ensures that 25/40 is equivalent to 5/8.
- 20/40 is incorrect. This fraction would be equivalent to 4/8 or 1/2, not 5/8. It would result from multiplying the numerator (5) by 4 instead of 5, or trying to achieve a numerator of 20 through an incorrect calculation.
- 30/40 is incorrect. This fraction is equivalent to 6/8 or 3/4, not 5/8. It would result from multiplying the numerator (5) by 6 instead of 5.
- 35/40 is incorrect. This fraction is equivalent to 7/8, not 5/8. It would result from multiplying the numerator (5) by 7 instead of 5.