QQuestionMathematics
QuestionMathematics
This number line models the division problem 1 / 6 ÷4. What is the quotient?
Enter your answer as a fraction in simplest form by filling in the boxes.
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Answer
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Step 1:I'll solve this step by step:
Step 2:: Understand the division problem
The problem involves dividing $$\frac{1}{6}$$ by 4.
Step 3:: Recall the division rule for fractions
\frac{1}{6} \div 4 = \frac{1}{6} \times \frac{1}{4}
When dividing fractions, we multiply the first fraction by the reciprocal of the second number.
Step 4:: Multiply the fractions
\frac{1}{6} \times \frac{1}{4} = \frac{1 \times 1}{6 \times 4} = \frac{1}{24}
Step 5:: Verify the fraction is in simplest form
1 and 24 have no common factors other than 1, so $$\frac{1}{24}$$ is already in its simplest form.
Final Answer
The quotient of \frac{1}{6} \div 4 is \frac{1}{24}.
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