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Answer :
To simplify the fraction [tex]\(\frac{32}{40}\)[/tex], we need to find the greatest common divisor (GCD) of the numerator (32) and the denominator (40), and then divide both the numerator and the denominator by the GCD.
Steps to Simplify the Fraction:
1. Identify the GCD of 32 and 40:
The greatest common divisor (GCD) of 32 and 40 is 8.
2. Divide both the numerator and denominator by the GCD:
[tex]\[
\frac{32 \div 8}{40 \div 8} = \frac{4}{5}
\][/tex]
So, the fraction [tex]\(\frac{32}{40}\)[/tex] simplified is [tex]\(\frac{4}{5}\)[/tex].
Therefore, the simplest form of [tex]\(\frac{32}{40}\)[/tex] is [tex]\( \boxed{\frac{4}{5}} \)[/tex], which corresponds to option B.
Steps to Simplify the Fraction:
1. Identify the GCD of 32 and 40:
The greatest common divisor (GCD) of 32 and 40 is 8.
2. Divide both the numerator and denominator by the GCD:
[tex]\[
\frac{32 \div 8}{40 \div 8} = \frac{4}{5}
\][/tex]
So, the fraction [tex]\(\frac{32}{40}\)[/tex] simplified is [tex]\(\frac{4}{5}\)[/tex].
Therefore, the simplest form of [tex]\(\frac{32}{40}\)[/tex] is [tex]\( \boxed{\frac{4}{5}} \)[/tex], which corresponds to option B.
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