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

  1. 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} ).

  2. 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: $$ \frac{5}{6} \div 4 = \frac{5}{6} \times \frac{1}{4} $$

  3. 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.

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