6 divided by 3/2
Understand the Problem
The question is asking to perform a division operation where 6 is divided by the fraction 3/2. To solve it, we will use the rule that dividing by a fraction is equivalent to multiplying by its reciprocal.
Answer
4
Answer for screen readers
The final answer is 4
Steps to Solve
- Identify the reciprocal of the fraction
The reciprocal of a fraction is obtained by swapping its numerator and denominator. Here, the fraction is $\frac{3}{2}$, so its reciprocal is $\frac{2}{3}$.
- Rewrite the division as a multiplication
Dividing by a fraction is equivalent to multiplying by its reciprocal. Therefore, we rewrite $6 \div \frac{3}{2}$ as $6 \times \frac{2}{3}$.
- Multiply the numbers
Now we perform the multiplication: $$6 \times \frac{2}{3} = \frac{6 \times 2}{3} = \frac{12}{3}$$
- Simplify the fraction
Simplify the fraction by dividing the numerator by the denominator: $$\frac{12}{3} = 4$$
The final answer is 4
More Information
Dividing by a fraction is the same as multiplying by its reciprocal.
Tips
A common mistake is forgetting to find the reciprocal of the fraction before performing the multiplication.
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