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Answer :
To simplify the fraction [tex]\(\frac{32}{40}\)[/tex], we need to divide both the numerator and the denominator by their greatest common divisor (GCD).
1. Find the GCD: The greatest common divisor of 32 and 40 is 8.
2. Simplify the fraction:
- Divide the numerator (32) by the GCD (8):
[tex]\[
\frac{32}{8} = 4
\][/tex]
- Divide the denominator (40) by the GCD (8):
[tex]\[
\frac{40}{8} = 5
\][/tex]
3. Simplified Form: The simplest form of [tex]\(\frac{32}{40}\)[/tex] is [tex]\(\frac{4}{5}\)[/tex].
Therefore, the correct answer is A. [tex]\(\frac{4}{5}\)[/tex].
1. Find the GCD: The greatest common divisor of 32 and 40 is 8.
2. Simplify the fraction:
- Divide the numerator (32) by the GCD (8):
[tex]\[
\frac{32}{8} = 4
\][/tex]
- Divide the denominator (40) by the GCD (8):
[tex]\[
\frac{40}{8} = 5
\][/tex]
3. Simplified Form: The simplest form of [tex]\(\frac{32}{40}\)[/tex] is [tex]\(\frac{4}{5}\)[/tex].
Therefore, the correct answer is A. [tex]\(\frac{4}{5}\)[/tex].
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