4 divided by 4 5 as a fraction

Art Scpae

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23-10-2024

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Understanding Division and Fractions: 4 Divided by 4.5 as a Fraction

This article will explore the concept of dividing 4 by 4.5 and expressing the result as a fraction. We will break down the process step-by-step and discuss the key principles involved.

The Question:

What is 4 divided by 4.5, expressed as a fraction?

The Solution:

To solve this, we can follow these steps:

1. Convert the decimal to a fraction: 4.5 is equivalent to 4 1/2, which can be rewritten as 9/2.

2. Rewrite the division as a fraction: Division is essentially the same as a fraction. Therefore, 4 divided by 4.5 can be written as 4/(9/2).

3. Flip the denominator and multiply: Dividing by a fraction is the same as multiplying by its reciprocal. The reciprocal of 9/2 is 2/9. So, our problem now becomes 4 * (2/9).

4. Simplify the multiplication: 4 * (2/9) = 8/9.

Therefore, 4 divided by 4.5 expressed as a fraction is 8/9.

Additional Insights:

• Simplifying Fractions: The resulting fraction, 8/9, is already in its simplest form because 8 and 9 have no common factors other than 1.

• Visualizing the Problem: Imagine you have 4 pizzas and need to divide them equally among 4.5 people. This seems impossible, but think of each pizza as having 9 slices. You would then have a total of 36 slices. Dividing these slices among 4.5 people means each person gets 8 slices.

• Real-World Applications: This concept of dividing by decimals and fractions is relevant in many real-world scenarios, such as calculating unit prices, sharing costs equally, and measuring quantities.

Conclusion:

By understanding the relationship between division and fractions, we can solve problems like 4 divided by 4.5 and express the answer in its simplest fractional form. This knowledge can be applied to various practical situations and helps us to grasp the fundamental concepts of mathematics.