Jamie Needs $\frac{1}{5}$ Meter Of Ribbon To Decorate The Border Of A Photo Frame.Enter The Number Of Photo Frames That Can Be Decorated Using $\frac{4}{5}$ Meter Of Ribbon.

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Decorating Photo Frames with Ribbon: A Mathematical Problem

In this article, we will explore a mathematical problem related to decorating photo frames with ribbon. We will use fractions to determine the number of photo frames that can be decorated using a certain amount of ribbon. This problem is a great example of how fractions can be used in real-life scenarios.

Jamie needs 15\frac{1}{5} meter of ribbon to decorate the border of a photo frame. If she has 45\frac{4}{5} meter of ribbon, how many photo frames can she decorate?

To solve this problem, we need to understand the relationship between the amount of ribbon needed to decorate one photo frame and the total amount of ribbon available. We can start by analyzing the fraction 15\frac{1}{5}, which represents the amount of ribbon needed to decorate one photo frame.

The fraction 15\frac{1}{5} can be broken down into two parts: the numerator (1) and the denominator (5). The numerator represents the number of parts of the ribbon needed to decorate one photo frame, while the denominator represents the total number of parts of the ribbon available.

To calculate the number of photo frames that can be decorated using 45\frac{4}{5} meter of ribbon, we need to divide the total amount of ribbon available by the amount of ribbon needed to decorate one photo frame.

Let's use the following formula:

Number of photo frames = Total amount of ribbon available ÷ Amount of ribbon needed to decorate one photo frame

In this case, the total amount of ribbon available is 45\frac{4}{5} meter, and the amount of ribbon needed to decorate one photo frame is 15\frac{1}{5} meter.

To solve the equation, we can divide the total amount of ribbon available by the amount of ribbon needed to decorate one photo frame:

Number of photo frames = 45\frac{4}{5} ÷ 15\frac{1}{5}

To divide fractions, we can multiply the first fraction by the reciprocal of the second fraction:

Number of photo frames = 45\frac{4}{5} × 51\frac{5}{1}

Simplifying the equation, we get:

Number of photo frames = 4

In conclusion, Jamie can decorate 4 photo frames using 45\frac{4}{5} meter of ribbon. This problem is a great example of how fractions can be used in real-life scenarios, and it demonstrates the importance of understanding the relationship between fractions and proportions.

This problem has real-world applications in various fields, such as:

  • Crafting: When crafting, it's essential to have the right amount of materials to complete a project. This problem can help crafters determine the number of materials needed to complete a project.
  • Cooking: In cooking, it's crucial to have the right amount of ingredients to prepare a dish. This problem can help cooks determine the number of ingredients needed to prepare a dish.
  • Building: In building, it's essential to have the right amount of materials to complete a project. This problem can help builders determine the number of materials needed to complete a project.

Here are some tips and variations to make this problem more challenging:

  • Using different fractions: Instead of using 15\frac{1}{5} and 45\frac{4}{5}, use different fractions, such as 13\frac{1}{3} and 43\frac{4}{3}.
  • Using decimals: Instead of using fractions, use decimals, such as 0.2 and 0.8.
  • Using mixed numbers: Instead of using fractions, use mixed numbers, such as 115\frac{1}{5} and 415\frac{1}{5}.

In conclusion, this problem is a great example of how fractions can be used in real-life scenarios. It demonstrates the importance of understanding the relationship between fractions and proportions. By solving this problem, we can determine the number of photo frames that can be decorated using a certain amount of ribbon.
Frequently Asked Questions: Decorating Photo Frames with Ribbon

In our previous article, we explored a mathematical problem related to decorating photo frames with ribbon. We used fractions to determine the number of photo frames that can be decorated using a certain amount of ribbon. In this article, we will answer some frequently asked questions related to this problem.

A: The amount of ribbon needed to decorate one photo frame is represented by the fraction 15\frac{1}{5}, while the total amount of ribbon available is represented by the fraction 45\frac{4}{5}. To determine the number of photo frames that can be decorated, we need to divide the total amount of ribbon available by the amount of ribbon needed to decorate one photo frame.

A: To calculate the number of photo frames that can be decorated, you can use the following formula:

Number of photo frames = Total amount of ribbon available ÷ Amount of ribbon needed to decorate one photo frame

For example, if you have 45\frac{4}{5} meter of ribbon and need 15\frac{1}{5} meter to decorate one photo frame, you can calculate the number of photo frames as follows:

Number of photo frames = 45\frac{4}{5} ÷ 15\frac{1}{5}

A: If you have a different amount of ribbon available, you can use the same formula to calculate the number of photo frames that can be decorated. For example, if you have 35\frac{3}{5} meter of ribbon and need 15\frac{1}{5} meter to decorate one photo frame, you can calculate the number of photo frames as follows:

Number of photo frames = 35\frac{3}{5} ÷ 15\frac{1}{5}

A: Yes, you can use decimals instead of fractions to calculate the number of photo frames that can be decorated. For example, if you have 0.8 meter of ribbon and need 0.2 meter to decorate one photo frame, you can calculate the number of photo frames as follows:

Number of photo frames = 0.8 ÷ 0.2

A: Yes, you can use mixed numbers instead of fractions to calculate the number of photo frames that can be decorated. For example, if you have 115\frac{1}{5} meter of ribbon and need 15\frac{1}{5} meter to decorate one photo frame, you can calculate the number of photo frames as follows:

Number of photo frames = 115\frac{1}{5} ÷ 15\frac{1}{5}

A: If you have a different shape or size of photo frame, you will need to adjust the amount of ribbon needed to decorate one photo frame. For example, if you have a larger photo frame that requires 215\frac{1}{5} meters of ribbon to decorate, you will need to adjust the calculation accordingly.

In conclusion, this article answers some frequently asked questions related to decorating photo frames with ribbon. We hope that this article has provided you with a better understanding of how to calculate the number of photo frames that can be decorated using a certain amount of ribbon.