# Dividing a Whole Number by a Fraction: 1/2 Divided By 8

## 1/2 Divided By 8

In this section, I’ll explain how to divide a whole number by a fraction. Specifically, let’s explore the division of 1/2 divided by 3.

### When Dividing a Whole

When it comes to dividing fractions, one common question that often arises is “What is 1/2 divided by 8?” Well, let’s dive into the world of fractions and explore the answer.

To divide fractions, we follow a simple rule: multiply the first fraction by the reciprocal of the second fraction. In this case, we have 1/2 as our first fraction and 8 as our second fraction. The reciprocal of 8 is 1/8.

So, to solve for 1/2 divided by 8, we can rewrite it as (1/2) multiplied by (1/8). Multiplying these two fractions together gives us a result of 1/16.

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Therefore, when you divide half (1/2) by eight (8), the answer is one-sixteenth (1/16). Keep in mind that dividing fractions requires multiplying by the reciprocal and simplifying if necessary.

In conclusion, when faced with the question “What is 1/2 divided by 8?”, remember to multiply the first fraction by the reciprocal of the second. By following this method, we find that the answer is equal to one-sixteenth (1/16).

## Understanding the Fraction

When it comes to understanding the fraction 1/2 divided by 8, it’s important to have a clear grasp of basic arithmetic principles. Let’s delve into this concept and break it down step by step.

Firstly, let’s start with the numerator, which is 1/2. The numerator represents the number we want to divide. In this case, we have half of something – let’s say half of a pizza.

Now, let’s move on to the denominator, which is 8. The denominator represents the number we are dividing by. In other words, it tells us how many equal parts we need to divide our numerator into.

To calculate this division problem, I’ll employ a simple technique called long division:

0.125

———

8 | 0.5

-0

50

-48

20

-16

As you can see from the long division calculation above, when we divide 1/2 by 8, the result is 0.125 or one-eighth (1/8). So in terms of our pizza analogy, each person would receive an eighth of a pizza if we divided it equally among eight people.

It’s noteworthy that when dividing fractions or decimals with smaller denominators like in this example (dividing by eight), the resulting quotient tends to be smaller than the original numerator.

By understanding these fundamental concepts and employing proper techniques like long division, you can confidently solve similar fraction division problems and gain mastery over arithmetic operations.

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