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Answer :
To simplify the fraction [tex]\(\frac{32}{40}\)[/tex], follow these steps:
1. Identify the greatest common divisor (GCD): The GCD is the largest number that can divide both 32 and 40 without leaving a remainder. In this case, the GCD is 8.
2. Divide both the numerator and the denominator by the GCD:
- Divide the numerator (32) by 8: [tex]\(32 \div 8 = 4\)[/tex]
- Divide the denominator (40) by 8: [tex]\(40 \div 8 = 5\)[/tex]
3. Rewrite the fraction using the new numbers: The simplified form of the fraction [tex]\(\frac{32}{40}\)[/tex] is [tex]\(\frac{4}{5}\)[/tex].
Therefore, the simplest form of the fraction [tex]\(\frac{32}{40}\)[/tex] is [tex]\(\frac{4}{5}\)[/tex], which corresponds to option C.
1. Identify the greatest common divisor (GCD): The GCD is the largest number that can divide both 32 and 40 without leaving a remainder. In this case, the GCD is 8.
2. Divide both the numerator and the denominator by the GCD:
- Divide the numerator (32) by 8: [tex]\(32 \div 8 = 4\)[/tex]
- Divide the denominator (40) by 8: [tex]\(40 \div 8 = 5\)[/tex]
3. Rewrite the fraction using the new numbers: The simplified form of the fraction [tex]\(\frac{32}{40}\)[/tex] is [tex]\(\frac{4}{5}\)[/tex].
Therefore, the simplest form of the fraction [tex]\(\frac{32}{40}\)[/tex] is [tex]\(\frac{4}{5}\)[/tex], which corresponds to option C.
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