10 divided by 1/2
Understand the Problem
The question is asking to calculate the result of dividing 10 by 1/2, which is a mathematical operation involving fractions.
Answer
20
Answer for screen readers
The final answer is 20
Steps to Solve
- Convert division by a fraction to multiplication
Dividing by a fraction is the same as multiplying by its reciprocal. The reciprocal of ( \frac{1}{2} ) is ( 2 ). So, we convert the operation to multiplication:
$$ 10 \div \frac{1}{2} = 10 \times 2 $$
- Perform the multiplication
Multiply ( 10 ) by ( 2 ):
$$ 10 \times 2 = 20 $$
The final answer is 20
More Information
Division by a fraction may seem tricky, but converting it to a multiplication simplifies it. This type of problem is a great example of how understanding reciprocal relationships in math can help solve problems quickly.
Tips
A common mistake is to divide the numbers directly instead of converting the division by a fraction into multiplication by the reciprocal. Always remember to find the reciprocal of the fraction first.
