The problem asks to fully simplify the fraction $\frac{80}{100}$.

ArithmeticFractionsSimplificationGreatest Common Divisor (GCD)
2025/5/5

1. Problem Description

The problem asks to fully simplify the fraction 80100\frac{80}{100}.

2. Solution Steps

To simplify the fraction 80100\frac{80}{100}, we need to find the greatest common divisor (GCD) of the numerator (80) and the denominator (100).
We can find the GCD by listing the factors of each number:
Factors of 80: 1, 2, 4, 5, 8, 10, 16, 20, 40, 80
Factors of 100: 1, 2, 4, 5, 10, 20, 25, 50, 100
The greatest common divisor is
2

0. Now we divide both the numerator and the denominator by the GCD:

8020=4\frac{80}{20} = 4
10020=5\frac{100}{20} = 5
Therefore, the simplified fraction is 45\frac{4}{5}.

3. Final Answer

45\frac{4}{5}

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