How to get a denominator by itself?
Understand the Problem
The question is asking for the steps or method to isolate the denominator in a mathematical expression. This suggests a focus on algebraic manipulation techniques.
Answer
$b = \frac{a}{c}$
Answer for screen readers
The isolated denominator in the expression is given by $b = \frac{a}{c}$.
Steps to Solve
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Identify the expression Start with the mathematical expression where you want to isolate the denominator. For example, consider the expression $\frac{a}{b} = c$, where $b$ is the denominator we want to isolate.
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Multiply both sides by the denominator To isolate $b$, multiply both sides of the equation by $b$. This eliminates the fraction on the left side. $$ b \cdot \frac{a}{b} = b \cdot c $$
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Simplify the equation After multiplying, the left side simplifies to $a$. Thus, the equation becomes: $$ a = bc $$
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Divide by the other variable To solve for $b$, divide both sides by $c$. This gives us: $$ b = \frac{a}{c} $$
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Conclude the isolation Now, $b$ is isolated in terms of $a$ and $c$. Therefore, we have successfully isolated the denominator.
The isolated denominator in the expression is given by $b = \frac{a}{c}$.
More Information
Isolating a denominator is a common technique used in algebra to simplify and solve equations. It allows us to express a variable in terms of others.
Tips
- Forgetting to multiply both sides of the equation by the same term, which can lead to incorrect results.
- Simplifying incorrectly after multiplication, which may result in losing information.
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