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Reduce [tex]\frac{64}{80}[/tex].

Answer :

To reduce the fraction [tex]\(\frac{64}{80}\)[/tex], we need to find the greatest common divisor (GCD) of the numerator and the denominator, and then simplify the fraction by dividing both by this GCD.

Here is a step-by-step solution:

1. Find the GCD of 64 and 80:

- List the factors of each number:
- Factors of 64: 1, 2, 4, 8, 16, 32, 64
- Factors of 80: 1, 2, 4, 5, 8, 10, 16, 20, 40, 80

- The common factors are: 1, 2, 4, 8, 16.
- The greatest common factor is 16.

2. Simplify the fraction using the GCD:

- Divide both the numerator and the denominator by their GCD, which is 16:

[tex]\[
\frac{64 \div 16}{80 \div 16} = \frac{4}{5}
\][/tex]

So, the fraction [tex]\(\frac{64}{80}\)[/tex] simplifies to [tex]\(\frac{4}{5}\)[/tex].

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