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

  1. Convert the whole number to a fraction

Convert the whole number 3 to the fraction $\frac{3}{1}$.

  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 $\frac{1}{3}$.

$$\frac{4}{3} \div \frac{3}{1} = \frac{4}{3} \times \frac{1}{3}$$

  1. 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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