Evaluate the expression \( \frac{4j}{3k} \) where j = 9 and k = 3.
Understand the Problem
The question is asking to evaluate the expression ( \frac{4j}{3k} ) using the given values for j and k, where j = 9 and k = 3.
Answer
The value of the expression is \( 4 \).
Answer for screen readers
The final answer is ( 4 ).
Steps to Solve
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Substitute the values of j and k Substitute the given values ( j = 9 ) and ( k = 3 ) into the expression ( \frac{4j}{3k} ).
[ \frac{4j}{3k} = \frac{4 \cdot 9}{3 \cdot 3} ]
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Perform the multiplication in the numerator and denominator Calculate the values in the numerator and the denominator.
[ \frac{36}{9} ]
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Simplify the fraction Divide the numerator by the denominator.
[ 36 \div 9 = 4 ]
The final answer is ( 4 ).
More Information
The expression ( \frac{4j}{3k} ) evaluates to ( 4 ) when substituting ( j = 9 ) and ( k = 3 ). This shows how fractions can be simplified after substituting variable values.
Tips
- Not substituting correctly: Ensure to replace both ( j ) and ( k ) accurately.
- Incorrect calculations: Double-check multiplication and division steps to avoid simple arithmetic errors.
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