Answer :
To simplify the fraction [tex]\(\frac{32}{40}\)[/tex] to its lowest terms, follow these steps:
1. Find the Greatest Common Divisor (GCD): Determine the largest number that can evenly divide both the numerator (32) and the denominator (40). In this case, the GCD is 8.
2. Divide the Numerator and Denominator by the GCD:
- Divide the numerator by the GCD: [tex]\( \frac{32}{8} = 4 \)[/tex].
- Divide the denominator by the GCD: [tex]\( \frac{40}{8} = 5 \)[/tex].
3. Simplified Fraction: The fraction [tex]\(\frac{32}{40}\)[/tex] simplifies to [tex]\(\frac{4}{5}\)[/tex].
So, the simplified form of [tex]\(\frac{32}{40}\)[/tex] is [tex]\(\frac{4}{5}\)[/tex].
1. Find the Greatest Common Divisor (GCD): Determine the largest number that can evenly divide both the numerator (32) and the denominator (40). In this case, the GCD is 8.
2. Divide the Numerator and Denominator by the GCD:
- Divide the numerator by the GCD: [tex]\( \frac{32}{8} = 4 \)[/tex].
- Divide the denominator by the GCD: [tex]\( \frac{40}{8} = 5 \)[/tex].
3. Simplified Fraction: The fraction [tex]\(\frac{32}{40}\)[/tex] simplifies to [tex]\(\frac{4}{5}\)[/tex].
So, the simplified form of [tex]\(\frac{32}{40}\)[/tex] is [tex]\(\frac{4}{5}\)[/tex].
