What is 6 divided by 2/3?
Dividing by a fraction can seem confusing, but it's actually a simple concept. Here's how to solve the problem:
Understanding the Problem:
The question "6 divided by 2/3" can be written mathematically as: 6 ÷ (2/3)
The Key Idea:
Dividing by a fraction is the same as multiplying by its reciprocal. The reciprocal of a fraction is found by flipping the numerator and denominator.
Solving the Problem:
- Find the reciprocal of 2/3: The reciprocal of 2/3 is 3/2.
- Multiply 6 by the reciprocal: 6 x (3/2) = 18/2
- Simplify the result: 18/2 = 9
Therefore, 6 divided by 2/3 equals 9.
Example:
Imagine you have 6 pizzas, and you want to divide them into servings that are each 2/3 of a whole pizza. How many servings can you make? The answer is 9 servings.
Tips:
- Remember to flip the fraction: The most important step is to find the reciprocal of the fraction you are dividing by.
- Multiply, then simplify: Multiply the whole number by the reciprocal, and then simplify the result.
- Practice makes perfect: The more you practice dividing by fractions, the more comfortable you'll become with the process.
Conclusion:
Dividing by a fraction is a common mathematical operation. By understanding the concept of reciprocals and following the steps outlined above, you can confidently solve these types of problems.