\frac{5}{8} m = 10
Understand the Problem
The question is asking to solve the equation \frac{5}{8} m = 10 for the variable m. This involves manipulating the equation to isolate m on one side.
Answer
The solution is \( m = 16 \).
Answer for screen readers
The final answer is ( m = 16 ).
Steps to Solve
- Identify the equation
We start with the equation:
$$ \frac{5}{8} m = 10 $$
- Multiply both sides by the reciprocal of (\frac{5}{8})
To isolate (m), multiply both sides of the equation by the reciprocal of (\frac{5}{8}), which is (\frac{8}{5}):
$$ m = 10 \cdot \frac{8}{5} $$
- Perform the multiplication
Now we compute:
$$ m = 10 \cdot \frac{8}{5} = \frac{80}{5} $$
- Simplify the result
Finally, simplify (\frac{80}{5}):
$$ m = 16 $$
The final answer is ( m = 16 ).
More Information
This problem demonstrates how to manipulate an equation to isolate a variable. By multiplying both sides by the reciprocal, we can effectively "clear" a fraction, simplifying the solution process.
Tips
- Forgetting to multiply both sides of the equation by the same number. This can lead to incorrect results.
- Miscalculating when multiplying the numbers, especially during multiplication of fractions.
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