QQuestionMathematics
QuestionMathematics
What is the value of 5 / 6 divided by 3 / 4 in fraction form?
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Answer
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Step 1:I'll solve this step by step using the precise 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.
Step 3:: Identify the fractions
First fraction: $$\frac{5}{6}
Second fraction: \frac{3}{4}
Step 4:: Find the reciprocal of the second fraction
The reciprocal of $$\frac{3}{4}$$ is $$\frac{4}{3}
Step 5:: Multiply the first fraction by the reciprocal
\frac{5}{6} \div \frac{3}{4} = \frac{5}{6} \times \frac{4}{3}
Step 6:: Multiply the numerators and denominators
= \frac{5 \times 4}{6 \times 3}
Step 7:: Simplify
= \frac{20}{18}
Step 8:: Reduce the fraction to lowest terms
= \frac{10}{9}
Final Answer
\frac{10}{9}
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