4/9 divided by 2/3
Understand the Problem
The question is asking to perform the division of the fractions 4/9 and 2/3. To divide fractions, we will multiply the first fraction by the reciprocal of the second fraction.
Answer
The answer is $\frac{2}{3}$.
Answer for screen readers
The final answer is $\frac{2}{3}$.
Steps to Solve
- Identify the fractions to divide
We have the fractions $\frac{4}{9}$ and $\frac{2}{3}$.
- Find the reciprocal of the second fraction
The reciprocal of $\frac{2}{3}$ is $\frac{3}{2}$.
- Multiply the first fraction by the reciprocal
We multiply $\frac{4}{9}$ by $\frac{3}{2}$:
$$ \frac{4}{9} \times \frac{3}{2} = \frac{4 \times 3}{9 \times 2} $$
- Calculate the numerator and the denominator
Now we will calculate:
- Numerator: $4 \times 3 = 12$
- Denominator: $9 \times 2 = 18$
So we have:
$$ \frac{12}{18} $$
- Simplify the resulting fraction
Now, we can simplify $\frac{12}{18}$ by finding the greatest common divisor (GCD) of 12 and 18, which is 6:
$$ \frac{12 \div 6}{18 \div 6} = \frac{2}{3} $$
The final answer is $\frac{2}{3}$.
More Information
When dividing fractions, multiplying by the reciprocal is a key step. The resulting fraction can often be simplified for a cleaner answer.
Tips
- Not taking the reciprocal of the second fraction before multiplication. Always remember to flip the fraction when dividing.
- Forgetting to simplify the answer. It's important to present the final answer in its simplest form.
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