What is 6 divided by 3/8?
Understand the Problem
The question is asking for the result of the division of 6 by the fraction 3/8. To solve this, we can multiply 6 by the reciprocal of 3/8, which is 8/3.
Answer
16
Answer for screen readers
The final answer is 16.
Steps to Solve
- Identify the reciprocal of the fraction
The reciprocal of a fraction is found by swapping the numerator and denominator. The reciprocal of $\frac{3}{8}$ is $\frac{8}{3}$.
- Set up the multiplication
Now we need to multiply 6 by the reciprocal of $\frac{3}{8}$:
$$ 6 \times \frac{8}{3} $$
- Multiply the numbers
To perform the multiplication, first convert 6 to a fraction:
$$ \frac{6}{1} \times \frac{8}{3} $$
Now multiply the numerators together and the denominators together:
$$ \frac{6 \times 8}{1 \times 3} = \frac{48}{3} $$
- Simplify the fraction
Now simplify $\frac{48}{3}$:
$$ \frac{48}{3} = 16 $$
The final answer is 16.
More Information
When you divide by a fraction, it's the same as multiplying by its reciprocal. Understanding this concept can simplify many problems in arithmetic and algebra.
Tips
- Forgetting to take the reciprocal of the fraction when dividing.
- Not simplifying the final fraction, which can lead to incorrect answers.
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