Answer :

To solve these fraction problems, we need to simplify each fraction to its simplest form.

  1. [tex]\frac{32}{40} =[/tex]

    Step-by-Step Explanation:

    • First, find the greatest common divisor (GCD) of 32 and 40.
    • Factorize the numbers:
      • 32 = 2 x 2 x 2 x 2 x 2
      • 40 = 2 x 2 x 2 x 5
    • The GCD is 8 because 8 is the largest number that divides both 32 and 40 without a remainder.
    • Divide both the numerator and the denominator by their GCD (8):
      [tex]\frac{32 \div 8}{40 \div 8} = \frac{4}{5}[/tex]
    • Therefore, the simplest form of [tex]\frac{32}{40}[/tex] is [tex]\frac{4}{5}[/tex].
  2. [tex]\frac{100}{125} =[/tex]

    Step-by-Step Explanation:

    • First, find the greatest common divisor (GCD) of 100 and 125.
    • Factorize the numbers:
      • 100 = 2 x 2 x 5 x 5
      • 125 = 5 x 5 x 5
    • The GCD is 25 because 25 is the largest number that divides both 100 and 125 without a remainder.
    • Divide both the numerator and the denominator by their GCD (25):
      [tex]\frac{100 \div 25}{125 \div 25} = \frac{4}{5}[/tex]
    • Therefore, the simplest form of [tex]\frac{100}{125}[/tex] is [tex]\frac{4}{5}[/tex].