5 2/3 divided by 4
Understand the Problem
The question is asking us to perform the division of a fraction, specifically 5 2/3 divided by 4. This will involve converting the mixed number into an improper fraction and then applying the rules of division for fractions.
Answer
\frac{17}{12}
Answer for screen readers
The final answer is \frac{17}{12}
Steps to Solve
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Convert the mixed number to an improper fraction
First, convert the mixed number $5 \frac{2}{3}$ to an improper fraction. To do this:
$$5 \frac{2}{3} = \frac{5 imes 3 + 2}{3} = \frac{15 + 2}{3} = \frac{17}{3}$$
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Rewrite the division as multiplication by the reciprocal
To divide by 4, we multiply by the reciprocal of 4. The reciprocal of 4 is $\frac{1}{4}$. So:
$$\frac{17}{3} \div 4 = \frac{17}{3} \times \frac{1}{4}$$
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Multiply the fractions
Multiply the numerators together and the denominators together:
$$\frac{17 imes 1}{3 imes 4} = \frac{17}{12}$$
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Simplify if necessary
The fraction $\frac{17}{12}$ is already in its simplest form.
Therefore, the answer is $\frac{17}{12}$.
The final answer is \frac{17}{12}
More Information
Improper fractions can often simplify complex arithmetic between mixed numbers and whole numbers.
Tips
A common mistake is not converting the mixed number to an improper fraction correctly or forgetting to take the reciprocal during division.
