\frac{4}{8}=\frac{r}{2}
Understand the Problem
The question is asking to solve for the variable 'r' in the equation \frac{4}{8} = \frac{r}{2}. This requires cross-multiplying and isolating 'r' to find its value.
Answer
The value of $r$ is $1$.
Answer for screen readers
The value of $r$ is $1$.
Steps to Solve
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Set up the equation Start with the given equation: $$ \frac{4}{8} = \frac{r}{2} $$
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Cross-multiply To eliminate the fractions, cross-multiply: $$ 4 \times 2 = 8 \times r $$
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Simplify the equation Calculate the left side: $$ 8 = 8r $$
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Isolate 'r' To find the value of 'r', divide both sides by 8: $$ r = \frac{8}{8} $$
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Calculate 'r' Simplify the fraction: $$ r = 1 $$
The value of $r$ is $1$.
More Information
This simple equation illustrates the method of cross-multiplying to solve for a variable in a proportion. Proportions are commonly found in various real-world situations, such as in recipes or scaling.
Tips
- Failing to cross-multiply correctly, leading to incorrect equations.
- Forgetting to simplify the final result after solving for the variable.
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