4 divided by 2/5
Understand the Problem
The question is asking to perform the mathematical operation of dividing 4 by the fraction 2/5. To solve this, we can multiply 4 by the reciprocal of 2/5, which is 5/2.
Answer
$10$
Answer for screen readers
The final answer is $10$.
Steps to Solve
- Identify the reciprocal of the fraction
To divide by a fraction, we multiply by its reciprocal. The reciprocal of $\frac{2}{5}$ is $\frac{5}{2}$.
- Set up the multiplication
Now, we can rewrite the original operation as: $$ 4 \div \frac{2}{5} = 4 \times \frac{5}{2} $$
- Perform the multiplication
Next, multiply $4$ by $\frac{5}{2}$: $$ 4 \times \frac{5}{2} = \frac{4 \times 5}{2} $$
- Simplify the result
Now simplify the fraction: $$ \frac{20}{2} = 10 $$
The final answer is $10$.
More Information
Dividing by a fraction can be understood as multiplying by its reciprocal. This method helps to simplify operations with fractions efficiently.
Tips
- A common mistake is to forget to take the reciprocal when dividing by a fraction. Always remember that dividing by a fraction is the same as multiplying by its reciprocal.
- Another mistake is not simplifying the final answer when possible.
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