Question #6445785Fill in the Blank
Algebra-1
Question
If , find the value of . The value of is _______.
Answer & Analysis
Analysis
Question Analysis
This question tests the student's ability to solve a proportion where the unknown variable is in the denominator. It requires careful application of cross-multiplication and algebraic manipulation.
This question tests the student's ability to solve a proportion where the unknown variable is in the denominator. It requires careful application of cross-multiplication and algebraic manipulation.
Key Concept Explanation
Cross-multiplication is a method to solve proportions by multiplying the numerator of one fraction by the denominator of the other, setting the products equal. This transforms the proportion into a simple equation, making it easier to solve for an unknown variable.
Cross-multiplication is a method to solve proportions by multiplying the numerator of one fraction by the denominator of the other, setting the products equal. This transforms the proportion into a simple equation, making it easier to solve for an unknown variable.
Step-by-step Solution
1. Set up the proportion:
2. Cross-multiply:
3. Simplify the left side:
1. Set up the proportion:
2. Cross-multiply:
3. Simplify the left side:
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