4/3 divided by 3
Understand the Problem
The question is asking us to perform a division operation with the fraction 4/3 and the whole number 3. We will convert 3 to a fraction and then divide accordingly.
Answer
\( \frac{4}{9} \)
Answer for screen readers
The final answer is ( \frac{4}{9} )
Steps to Solve
- Convert the whole number to a fraction
Convert the whole number 3 to the fraction $\frac{3}{1}$.
- Perform the division operation by using reciprocals
When dividing by a fraction, it is equivalent to multiplying by its reciprocal. So, dividing $\frac{4}{3}$ by $\frac{3}{1}$ is the same as multiplying $\frac{4}{3}$ by $\frac{1}{3}$.
$$\frac{4}{3} \div \frac{3}{1} = \frac{4}{3} \times \frac{1}{3}$$
- Multiply the fractions
Multiply the numerators together and the denominators together:
$$\frac{4 \times 1}{3 \times 3} = \frac{4}{9}$$
The final answer is ( \frac{4}{9} )
More Information
Dividing fractions involves multiplying by the reciprocal. This is a fundamental concept in fraction division.
Tips
A common mistake is to forget to take the reciprocal of the fraction you are dividing by. Remember to multiply by the reciprocal.
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