Answer :
To find the simplest form of the fraction [tex]\(\frac{32}{40}\)[/tex], you need to follow these steps:
1. Find the Greatest Common Divisor (GCD): First, you need to identify the greatest common divisor of the numerator (32) and the denominator (40). The GCD is the largest number that divides both numbers evenly.
2. Divide Both the Numerator and Denominator by the GCD: Once you have found the GCD, divide both the numerator and the denominator by this number to simplify the fraction.
Let's break down these steps:
- For the numbers 32 and 40, the greatest common divisor is 8. This can be determined by listing the factors of both numbers, or by using the Euclidean algorithm.
- Now, divide the numerator and the denominator by 8:
- Numerator: [tex]\(32 \div 8 = 4\)[/tex]
- Denominator: [tex]\(40 \div 8 = 5\)[/tex]
Therefore, the fraction [tex]\(\frac{32}{40}\)[/tex] simplifies to [tex]\(\frac{4}{5}\)[/tex].
So, the simplest form of the fraction is [tex]\(\frac{4}{5}\)[/tex], which corresponds to option B.
1. Find the Greatest Common Divisor (GCD): First, you need to identify the greatest common divisor of the numerator (32) and the denominator (40). The GCD is the largest number that divides both numbers evenly.
2. Divide Both the Numerator and Denominator by the GCD: Once you have found the GCD, divide both the numerator and the denominator by this number to simplify the fraction.
Let's break down these steps:
- For the numbers 32 and 40, the greatest common divisor is 8. This can be determined by listing the factors of both numbers, or by using the Euclidean algorithm.
- Now, divide the numerator and the denominator by 8:
- Numerator: [tex]\(32 \div 8 = 4\)[/tex]
- Denominator: [tex]\(40 \div 8 = 5\)[/tex]
Therefore, the fraction [tex]\(\frac{32}{40}\)[/tex] simplifies to [tex]\(\frac{4}{5}\)[/tex].
So, the simplest form of the fraction is [tex]\(\frac{4}{5}\)[/tex], which corresponds to option B.
