Question

20% = \frac{20}{100} = \frac{1}{5}
75% = \frac{75}{100} = \frac{\quad}{\quad}

Explanation:

Step1: Simplify the fraction

We start with the fraction $\frac{75}{100}$. To simplify it, we find the greatest common divisor (GCD) of 75 and 100. The factors of 75 are 1, 3, 5, 15, 25, 75. The factors of 100 are 1, 2, 4, 5, 10, 20, 25, 50, 100. The GCD of 75 and 100 is 25.

Step2: Divide numerator and denominator by GCD

We divide both the numerator and the denominator by 25. So, $\frac{75\div25}{100\div25}=\frac{3}{4}$.

Answer:

$\frac{3}{4}$