Answer :
Sure! Let's walk through the process of reducing the fraction [tex]\(\frac{32}{40}\)[/tex] to its simplest form.
1. Identify the Numerator and Denominator:
We start with the fraction [tex]\(\frac{32}{40}\)[/tex]. Here, 32 is the numerator and 40 is the denominator.
2. Find the Greatest Common Divisor (GCD):
To reduce the fraction, we need to find the greatest common divisor (GCD) of 32 and 40. The GCD is the largest number that divides both the numerator and the denominator without any remainder.
3. Calculate the GCD of 32 and 40:
For these numbers, the GCD is 8. This means 8 is the largest number that can divide both 32 and 40 evenly.
4. Divide the Numerator and Denominator by their GCD:
To simplify the fraction, divide the numerator and the denominator by their 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]
5. Write the Simplified Fraction:
After dividing both the numerator and the denominator by their GCD, we get the simplified fraction [tex]\(\frac{4}{5}\)[/tex].
Therefore, the fraction [tex]\(\frac{32}{40}\)[/tex] reduces to [tex]\(\frac{4}{5}\)[/tex].
1. Identify the Numerator and Denominator:
We start with the fraction [tex]\(\frac{32}{40}\)[/tex]. Here, 32 is the numerator and 40 is the denominator.
2. Find the Greatest Common Divisor (GCD):
To reduce the fraction, we need to find the greatest common divisor (GCD) of 32 and 40. The GCD is the largest number that divides both the numerator and the denominator without any remainder.
3. Calculate the GCD of 32 and 40:
For these numbers, the GCD is 8. This means 8 is the largest number that can divide both 32 and 40 evenly.
4. Divide the Numerator and Denominator by their GCD:
To simplify the fraction, divide the numerator and the denominator by their 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]
5. Write the Simplified Fraction:
After dividing both the numerator and the denominator by their GCD, we get the simplified fraction [tex]\(\frac{4}{5}\)[/tex].
Therefore, the fraction [tex]\(\frac{32}{40}\)[/tex] reduces to [tex]\(\frac{4}{5}\)[/tex].
