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------------------------------------------------ Use inspection or the greatest common divisor to reduce the fraction to its lowest terms.

[tex]\frac{32}{40}[/tex]

To reduce the fraction [tex]\(\frac{32}{40}\)[/tex] to its lowest terms, follow these steps:

1. Find the Greatest Common Divisor (GCD):
First, we need to find the greatest common divisor of the numerator (32) and the denominator (40). This is the largest number that divides both numbers without leaving a remainder.

2. Divide Both the Numerator and Denominator by the GCD:
Once you've found the GCD, divide both the numerator and the denominator by this number to simplify the fraction.

3. Calculation:
- The GCD of 32 and 40 is 8.
- Divide the numerator (32) by the GCD (8): [tex]\( 32 \div 8 = 4 \)[/tex].
- Divide the denominator (40) by the GCD (8): [tex]\( 40 \div 8 = 5 \)[/tex].

4. Simplified Fraction:
The fraction [tex]\(\frac{32}{40}\)[/tex] simplifies to [tex]\(\frac{4}{5}\)[/tex].

So, the fraction [tex]\(\frac{32}{40}\)[/tex] reduced to its lowest terms is [tex]\(\frac{4}{5}\)[/tex].