The problem asks us to calculate the product of the fraction $\frac{9}{20}$ and the number 5. We need to express the answer as a fraction in its simplest form.

1. Problem Description

The problem asks us to calculate the product of the fraction $\frac{9}{20}$ and the number

5. We need to express the answer as a fraction in its simplest form.

2. Solution Steps

To multiply a fraction by a whole number, we can rewrite the whole number as a fraction with a denominator of

1. Thus, we have:

$\frac{9}{20} \times 5 = \frac{9}{20} \times \frac{5}{1}$

Now we multiply the numerators and the denominators:

$\frac{9 \times 5}{20 \times 1} = \frac{45}{20}$

To simplify the fraction, we look for the greatest common divisor (GCD) of the numerator and the denominator. The GCD of 45 and 20 is

5. We divide both the numerator and the denominator by 5:

$\frac{45 \div 5}{20 \div 5} = \frac{9}{4}$

The fraction $\frac{9}{4}$ is in its simplest form because 9 and 4 have no common factors other than

1.

3. Final Answer

$\frac{9}{4}$