If x/8 = 5, what is the value of 8/x?
Understand the Problem
The question is asking to determine the value of \frac{8}{x} given the equation \frac{x}{8} = 5. To solve this, we first need to isolate x from the given equation and then substitute it into the expression we need to evaluate.
Answer
The value of \( \frac{8}{x} \) is \( \frac{1}{5} \).
Answer for screen readers
The value of ( \frac{8}{x} ) is ( \frac{1}{5} ).
Steps to Solve
- Isolate x in the equation
Start with the equation given:
$$ \frac{x}{8} = 5 $$
To isolate (x), multiply both sides by 8:
$$ x = 5 \times 8 $$
- Calculate the value of x
Now calculate the right side:
$$ x = 40 $$
- Substitute x into the expression
We need to evaluate the expression ( \frac{8}{x} ):
$$ \frac{8}{x} = \frac{8}{40} $$
- Simplify the expression
Now simplify:
$$ \frac{8}{40} = \frac{1}{5} $$
The value of ( \frac{8}{x} ) is ( \frac{1}{5} ).
More Information
In this problem, we first found the value of (x) and then used it to evaluate the expression. Understanding the relationship between the variables was key to solving it efficiently.
Tips
- Forgetting to multiply both sides of the equation by 8, which can lead to an incorrect value of (x).
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