60 divided by 1/2
Understand the Problem
The question is asking what the result is when 60 is divided by 1/2, which involves using the rule that dividing by a fraction is equivalent to multiplying by its reciprocal.
Answer
The result is 120.
Answer for screen readers
The result of dividing 60 by $\frac{1}{2}$ is 120.
Steps to Solve
- Identify the operation
The problem asks to divide 60 by $\frac{1}{2}$.
- Convert division to multiplication
Recall that dividing by a fraction is the same as multiplying by its reciprocal. So, we can rewrite the problem: $$ 60 \div \frac{1}{2} = 60 \times 2 $$
- Perform the multiplication
Now, we simply multiply 60 by 2: $$ 60 \times 2 = 120 $$
The result of dividing 60 by $\frac{1}{2}$ is 120.
More Information
Dividing by a fraction may seem counterintuitive, but it's based on the reciprocal relationships of fractions. So, when you divide by a number less than 1, you actually get a larger result, which is the case here.
Tips
- A common mistake is to misinterpret the operation and think dividing by $\frac{1}{2}$ gives a smaller number. Remember that it should actually double the value.
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