QQuestionMathematics
QuestionMathematics
"Simplify the following expression:
3 / 2 × 8 / 3
Express your answer in its simplest form."
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Answer
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Step 1:I'll solve this step by step, following the LaTeX formatting guidelines precisely:
Step 2:: Identify the given expression
The expression is $$\frac{3}{2} \times \frac{8}{3}
Step 3:: Multiply the numerators and denominators
\frac{3 \times 8}{2 \times 3}
Step 4:: Simplify the multiplication
\frac{24}{6}
Step 5:: Reduce the fraction to its simplest form
\frac{24 \div 6}{6 \div 6} = \frac{4}{1} = 4
Final Answer
Key Insights: - When multiplying fractions, multiply the numerators together and denominators together - Always simplify the resulting fraction by dividing both numerator and denominator by their greatest common factor - In this case, 24 and 6 share a common factor of 6, which allows for simplification to 4
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