Answer :
To solve these fraction problems, we need to simplify each fraction to its simplest form.
[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].
[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].
