QQuestionMathematics
QuestionMathematics
Simplify 3 / 8 ÷ 2 / 3 and express the answer in fraction form.
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Answer
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Step 1:I'll solve this step-by-step using the specified LaTeX formatting guidelines:
Step 2:: Recall the rule for dividing fractions
When dividing fractions, we multiply the first fraction by the reciprocal of the second fraction. This means we'll change the division to multiplication and flip the second fraction.
Step 3:: Rewrite the division as multiplication
\frac{3}{8} \div \frac{2}{3} = \frac{3}{8} \times \frac{3}{2}
Step 4:: Multiply the numerators and denominators
\frac{3 \times 3}{8 \times 2} = \frac{9}{16}
Step 5:: Simplify the fraction
The fraction $$\frac{9}{16}$$ is already in its simplest form, as 9 and 16 have no common factors other than 1.
Final Answer
\frac{9}{16}
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