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Answer :
To simplify the fraction [tex]\(\frac{64}{80}\)[/tex], we need to find the greatest common divisor (GCD) of the numerator and the denominator. The GCD is the largest number that can evenly divide both numbers.
1. Identify the GCD of 64 and 80:
- Factors of 64 are: 1, 2, 4, 8, 16, 32, 64
- Factors of 80 are: 1, 2, 4, 5, 8, 10, 16, 20, 40, 80
- The common factors are: 1, 2, 4, 8, 16
- The greatest common factor is 16.
2. Simplify the fraction:
- Divide the numerator and the denominator by their GCD (16):
[tex]\[
\frac{64}{16} = 4 \quad \text{and} \quad \frac{80}{16} = 5
\][/tex]
3. Write the simplified fraction:
- The fraction [tex]\(\frac{64}{80}\)[/tex] simplifies to [tex]\(\frac{4}{5}\)[/tex].
Therefore, the simplified form of the fraction [tex]\(\frac{64}{80}\)[/tex] is [tex]\(\frac{4}{5}\)[/tex].
1. Identify the GCD of 64 and 80:
- Factors of 64 are: 1, 2, 4, 8, 16, 32, 64
- Factors of 80 are: 1, 2, 4, 5, 8, 10, 16, 20, 40, 80
- The common factors are: 1, 2, 4, 8, 16
- The greatest common factor is 16.
2. Simplify the fraction:
- Divide the numerator and the denominator by their GCD (16):
[tex]\[
\frac{64}{16} = 4 \quad \text{and} \quad \frac{80}{16} = 5
\][/tex]
3. Write the simplified fraction:
- The fraction [tex]\(\frac{64}{80}\)[/tex] simplifies to [tex]\(\frac{4}{5}\)[/tex].
Therefore, the simplified form of the fraction [tex]\(\frac{64}{80}\)[/tex] is [tex]\(\frac{4}{5}\)[/tex].
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