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Algebra Difficulty: Easy

If $\frac{x}{8} = 5$ , what is the value of $StartFraction 8 Over x EndFraction$ ?

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Explanation

The correct answer is $\frac{1}{5}$ . Since the number $5$ can also be written as $\frac{5}{1}$ , the given equation can also be written as $\frac{x}{8} = \frac{5}{1}$ . This equation is equivalent to $\frac{8}{x} = \frac{1}{5}$ . Therefore, the value of $StartFraction 8 Over x EndFraction$ is $\frac{1}{5}$ . Note that 1/5 and .2 are examples of ways to enter a correct answer.

Alternate approach: Multiplying both sides of the equation $\frac{x}{8} = 5$ by $8$ yields $x equals 40$ . Substituting $40$ for $x$ into the expression $StartFraction 8 Over x EndFraction$ yields $\frac{8}{40}$ , or $\frac{1}{5}$ .