Dividing 3 by 1/6 might seem puzzling initially, but let’s break it down to understand the concept. Divining a number by a fraction is equivalent to multiplying that number by the reciprocal of the fraction.

In this case, we can rewrite 1/6 as 6/1. Now, we’ll multiply 3 by the reciprocal of 6/1, which is 1/6.

Multiplying 3 by 1/6 results in 1/2. Therefore, 3 divided by 1/6 equals 1/2.

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## Understanding Division

When faced with a division problem like “3 divided by 1/6,” it’s important to clearly understand the concept of division. Division is separating a given quantity into equal parts or groups. In mathematical notation, division is represented by the symbol “/”, commonly referred to as a “slash” or “forward slash.”

Now, let’s delve into “3 divided by 1/6.” To solve this division problem, we must remember that dividing by a fraction is equivalent to multiplying by its reciprocal. The reciprocal of a fraction is obtained by interchanging the numerator (top number) and the denominator (bottom number).

In this case, the reciprocal of 1/6 is 6/1. Therefore, “3 divided by 1/6” is the same as multiplying 3 by 6/1. Simplifying this expression, we find that:

3 * 6/1 = 18/1 = 18

Hence, the result of “3 divided by 1/6” is 18. If we divide 3 into equal parts, each part will be 18.

To summarize:

- Division is the process of separating a quantity into equal parts or groups.
- The division symbol, “/”, denotes division in mathematical notation.
- Dividing by a fraction is equivalent to multiplying by its reciprocal.
- In the case of “3 divided by 1/6,” the solution is 18.

Understanding division is crucial for various applications in everyday life, such as splitting goods evenly among friends or calculating rates. By grasping the mathematical concepts behind division, we can confidently solve division problems and make accurate computations.

Remember, practice is key when it comes to mastering division. So, grab a pen and paper, and challenge yourself with different division problems to strengthen your skills in this fundamental mathematical operation.

## 3 Divided By 1/6

When faced with a fraction like 3 divided by 1/6, it may seem slightly perplexing at first glance. However, simplifying fractions is a fundamental skill that can make calculations and understanding much easier. In this section, I’ll break down the process of simplifying fractions.

To simplify a fraction, we aim to express it in its simplest form, where the numerator (top number) and denominator (bottom number) have no common factors other than 1. By doing this, we can work with smaller and more manageable numbers.

Here’s how we can simplify the fraction 3 divided by 1/6:

- The first step is to rewrite the division as multiplication by the reciprocal of the denominator. In this case, the reciprocal of 1/6 is 6/1. So, 3 divided by 1/6 becomes 3 multiplied by 6/1.
- Next, we can multiply the numerators (top numbers) to get the new numerator. In this case, 3 multiplied by 6 equals 18.
- Similarly, we multiply the denominators (bottom numbers) to get the new denominator. Here, 1 multiplied by 1 equals 1.
- Finally, we have our simplified fraction: 18/1. However, when the denominator is 1, we often express the fraction as a whole number. Therefore, 18/1 simplifies to just 18.

So, 3 divided by 1/6 equals 18. By simplifying the fraction, we can see that the result is a whole number without any fractions.

Simplifying fractions is an essential skill that can be applied in various mathematical contexts, such as solving equations, working with ratios, and understanding proportions. It allows us to express fractions in their simplest and most concise form, making calculations more straightforward.

By mastering the art of simplifying fractions, you’ll have a solid foundation for tackling more complex mathematical problems with ease. So keep practicing and embrace the burstiness that comes with simplifying fractions!

## Dividing Whole Numbers

When it comes to division, understanding how to divide whole numbers is an essential skill. This section’ll explore dividing whole numbers, focusing on calculating 3 divided by 1/6.

To divide 3 by 1/6, we can approach it in a few steps:

- Convert the fraction to a whole number: To simplify the division process, converting the fraction 1/6 into a whole number is helpful. One way to do this is by taking the reciprocal (or multiplicative inverse) of the fraction. In this case, the reciprocal of 1/6 is 6/1, which can be simply 6.
- Perform the division: With the fraction converted to a whole number, we can divide 3 by 6. The result is 0.5, meaning 3 divided by 1/6 equals 0.5.

By mastering the art of dividing whole numbers, you’ll enhance your problem-solving skills and gain a deeper understanding of mathematical concepts. So, let’s dive in and explore the world of division with enthusiasm and curiosity!