60 divided by 2/3
Understand the Problem
The question is asking for the result of dividing 60 by two-thirds (2/3). The approach to solve this involves multiplying 60 by the reciprocal of 2/3, which is 3/2.
Answer
90
Answer for screen readers
The answer is 90.
Steps to Solve
-
Understand the operation
We need to divide 60 by $\frac{2}{3}$. Since dividing by a fraction is the same as multiplying by its reciprocal, we will use the reciprocal of $\frac{2}{3}$. -
Find the reciprocal
The reciprocal of $\frac{2}{3}$ is $\frac{3}{2}$. This means, instead of dividing, we will multiply 60 by $\frac{3}{2}$. -
Set up the multiplication
We write the equation as:
$$ 60 \times \frac{3}{2} $$ -
Perform the multiplication
First, multiply 60 by 3:
$$ 60 \times 3 = 180 $$
Then divide by 2:
$$ \frac{180}{2} = 90 $$
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State the final result
The result of dividing 60 by $\frac{2}{3}$, which is the same as multiplying by the reciprocal, is 90.
The answer is 90.
More Information
Dividing by a fraction can often lead to confusion, but it's a useful technique to remember that it's the same as multiplying by the reciprocal. This is applicable in many areas of math, especially in algebra and problem-solving.
Tips
- Misunderstanding the operation and trying to directly divide instead of multiplying by the reciprocal. To avoid this, always remember the rule about division by fractions.
