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Answer :
To find the simplest form of the fraction [tex]\(\frac{32}{40}\)[/tex], you need to reduce it by finding the greatest common divisor (GCD) of the numerator and the denominator.
1. Start with the fraction [tex]\(\frac{32}{40}\)[/tex].
2. Find the GCD of 32 and 40. The GCD is the largest number that divides both 32 and 40 without any remainder.
3. The GCD of 32 and 40 is 8.
4. Divide both the numerator and the denominator by their GCD:
- Numerator: [tex]\(32 \div 8 = 4\)[/tex]
- Denominator: [tex]\(40 \div 8 = 5\)[/tex]
5. So, [tex]\(\frac{32}{40}\)[/tex] reduces to [tex]\(\frac{4}{5}\)[/tex].
Therefore, the simplest form of [tex]\(\frac{32}{40}\)[/tex] is [tex]\(\frac{4}{5}\)[/tex]. The correct answer is option D, [tex]\(\frac{4}{5}\)[/tex].
1. Start with the fraction [tex]\(\frac{32}{40}\)[/tex].
2. Find the GCD of 32 and 40. The GCD is the largest number that divides both 32 and 40 without any remainder.
3. The GCD of 32 and 40 is 8.
4. Divide both the numerator and the denominator by their GCD:
- Numerator: [tex]\(32 \div 8 = 4\)[/tex]
- Denominator: [tex]\(40 \div 8 = 5\)[/tex]
5. So, [tex]\(\frac{32}{40}\)[/tex] reduces to [tex]\(\frac{4}{5}\)[/tex].
Therefore, the simplest form of [tex]\(\frac{32}{40}\)[/tex] is [tex]\(\frac{4}{5}\)[/tex]. The correct answer is option D, [tex]\(\frac{4}{5}\)[/tex].
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