What is 4/5 divided by 3?
Understand the Problem
The question is asking us to perform a division operation with the fraction 4/5 and the whole number 3. We will need to divide 4/5 by 3, which can be approached by multiplying 4/5 by the reciprocal of 3, which is 1/3.
Answer
The answer is $\frac{4}{15}$.
Answer for screen readers
The final answer is $\frac{4}{15}$.
Steps to Solve
-
Identify the operation to perform
We need to divide the fraction $\frac{4}{5}$ by the whole number $3$. -
Find the reciprocal of the whole number
The reciprocal of $3$ is $\frac{1}{3}$. -
Multiply the fraction by the reciprocal
Instead of dividing, we will multiply the fraction by its reciprocal:
$$ \frac{4}{5} \div 3 = \frac{4}{5} \times \frac{1}{3} $$ -
Perform the multiplication
To multiply two fractions, multiply the numerators and the denominators:
$$ \frac{4 \times 1}{5 \times 3} = \frac{4}{15} $$ -
Write the final answer
We conclude that the result of dividing $\frac{4}{5}$ by $3$ is $\frac{4}{15}$.
The final answer is $\frac{4}{15}$.
More Information
The result $\frac{4}{15}$ represents a smaller part of a whole and illustrates how division of a fraction by a whole number decreases the value.
Tips
- A common mistake is forgetting to find the reciprocal of the whole number before multiplication. Always ensure to convert any division by a whole number into a multiplication by its reciprocal.
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