The fraction 5/8 with a denominator 40 is:

A. 20/40
B. 25/40
C. 30/40
D. 35/40
Correct Answer: B. 25/40
Explanation: To convert a fraction to an equivalent form with a specified denominator, you must multiply both the numerator and denominator by the exact same scalar factor.


### Important Facts & Steps:

  • Base Fraction: $frac{5}{8}$

  • Target Denominator: $40$

  • Determine the multiplication factor: $40 div 8 = 5$

  • Multiply both top and bottom by 5:

$$frac{5 times 5}{8 times 5} = frac{25}{40}$$

  • Equivalent fractions retain identical decimal values ($0.625$).

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