1. The problem is to multiply the fractions $\frac{9}{20}$ and $5$ and express the answer as a fraction in simplest form.
2. Recall the multiplication rule for fractions: $\frac{a}{b} \times c = \frac{a \times c}{b}$ where $a$, $b$, and $c$ are integers.
3. Apply the rule: $\frac{9}{20} \times 5 = \frac{9 \times 5}{20} = \frac{45}{20}$.
4. Simplify the fraction $\frac{45}{20}$ by finding the greatest common divisor (GCD) of 45 and 20, which is 5.
5. Divide numerator and denominator by 5: $$\frac{\cancel{45}^9}{\cancel{20}^4} = \frac{9}{4}$$.
6. The fraction $\frac{9}{4}$ is in simplest form because 9 and 4 have no common divisors other than 1.
Final answer: $\frac{9}{4}$
Fraction Multiplication Fb6295
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