5/6 divided by 4
Understand the Problem
The question is asking us to perform a division operation involving a fraction (5/6) and a whole number (4). We will convert the whole number to a fraction and then carry out the division.
Answer
\( \frac{5}{24} \)
Answer for screen readers
The final answer is ( \frac{5}{24} )
Steps to Solve
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Convert the whole number to a fraction
A whole number can be written as a fraction with 1 as the denominator. So 4 can be written as ( \frac{4}{1} ).
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Rewrite the division as multiplication by the reciprocal
Dividing by a fraction is the same as multiplying by its reciprocal. The reciprocal of ( \frac{4}{1} ) is ( \frac{1}{4} ). So, the problem becomes: $$ \frac{5}{6} \div 4 = \frac{5}{6} \times \frac{1}{4} $$
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Multiply the fractions
To multiply two fractions, multiply the numerators and the denominators: $$ \frac{5}{6} \times \frac{1}{4} = \frac{5 \times 1}{6 \times 4} = \frac{5}{24} $$
The final answer is ( \frac{5}{24} )
More Information
Fractions are often divided by converting the division into multiplication by the reciprocal, simplifying the process.
Tips
A common mistake is to forget to take the reciprocal of the fraction being divided.
