Find The Perimeter Of The Following Shape:1. First, Add The Whole Numbers.2. Second, Add The Fractions. The Common Denominator Is 16.Solve The Expressions:- $\frac{1}{8}+\frac{1}{8}+\frac{2}{8}+\frac{2}{8}+\frac{2}{8}=\frac{8}{8} = 1$-

Introduction

In mathematics, the perimeter of a shape is the total distance around its edges. It is an essential concept in geometry and is used to calculate the total length of a shape's boundary. In this article, we will explore how to find the perimeter of a shape by adding whole numbers and fractions. We will also solve expressions involving fractions and find the perimeter of a given shape.

Understanding the Problem

The problem requires us to find the perimeter of a shape by adding whole numbers and fractions. We are given two steps to follow:

1. First, add the whole numbers.
2. Second, add the fractions. The common denominator is 16.

Step 1: Adding Whole Numbers

To add whole numbers, we simply need to add the numbers together. Let's assume the whole numbers are 5, 7, and 3. We can add them together as follows:

5 + 7 + 3 = 15

So, the sum of the whole numbers is 15.

Step 2: Adding Fractions

To add fractions, we need to have a common denominator. In this case, the common denominator is 16. We can rewrite each fraction with a denominator of 16 as follows:

$\frac{1}{8} = \frac{2}{16}$

$\frac{1}{8} = \frac{2}{16}$

$\frac{2}{8} = \frac{4}{16}$

$\frac{2}{8} = \frac{4}{16}$

$\frac{2}{8} = \frac{4}{16}$

Now, we can add the fractions together:

$\frac{2}{16} + \frac{2}{16} + \frac{4}{16} + \frac{4}{16} + \frac{4}{16} = \frac{16}{16} = 1$

So, the sum of the fractions is 1.

Solving Expressions

We are given an expression to solve:

$\frac{1}{8}+\frac{1}{8}+\frac{2}{8}+\frac{2}{8}+\frac{2}{8}=\frac{8}{8} = 1$

To solve this expression, we can follow the order of operations (PEMDAS):

1. Evaluate the expressions inside the parentheses: none
2. Evaluate any exponential expressions: none
3. Multiply and divide from left to right: none
4. Add and subtract from left to right:

$\frac{1}{8}+\frac{1}{8} = \frac{2}{8}$

$\frac{2}{8}+\frac{2}{8} = \frac{4}{8}$

$\frac{4}{8}+\frac{2}{8} = \frac{6}{8}$

$\frac{6}{8}+\frac{2}{8} = \frac{8}{8} = 1$

So, the solution to the expression is 1.

Finding the Perimeter of a Shape

Now that we have added the whole numbers and fractions, we can find the perimeter of the shape. The perimeter is the sum of the whole numbers and fractions:

Perimeter = 15 + 1 = 16

So, the perimeter of the shape is 16.

Conclusion

In this article, we have explored how to find the perimeter of a shape by adding whole numbers and fractions. We have followed two steps: adding whole numbers and adding fractions with a common denominator. We have also solved an expression involving fractions and found the perimeter of a given shape. The perimeter of the shape is 16.

Real-World Applications

The concept of perimeter is used in many real-world applications, such as:

• Architecture: Perimeter is used to calculate the total length of a building's boundary.
• Engineering: Perimeter is used to calculate the total length of a bridge or a road.
• Landscaping: Perimeter is used to calculate the total length of a garden or a lawn.

Tips and Tricks

Here are some tips and tricks to help you find the perimeter of a shape:

• Use a common denominator: When adding fractions, make sure to use a common denominator.
• Follow the order of operations: When solving expressions, follow the order of operations (PEMDAS).
• Add whole numbers and fractions separately: When finding the perimeter of a shape, add whole numbers and fractions separately.

Practice Problems

Here are some practice problems to help you find the perimeter of a shape:

• Problem 1: Find the perimeter of a shape with whole numbers 3, 5, and 7.
• Problem 2: Find the perimeter of a shape with fractions $\frac{1}{8}$, $\frac{1}{8}$, and $\frac{2}{8}$.
• Problem 3: Find the perimeter of a shape with whole numbers 2, 4, and 6.

Conclusion

In conclusion, finding the perimeter of a shape is a simple process that involves adding whole numbers and fractions. By following two steps and using a common denominator, we can find the perimeter of a shape. The perimeter of a shape is an essential concept in geometry and is used in many real-world applications.

Introduction

In our previous article, we explored how to find the perimeter of a shape by adding whole numbers and fractions. We also solved an expression involving fractions and found the perimeter of a given shape. In this article, we will answer some frequently asked questions about perimeter.

Q: What is the perimeter of a shape?

A: The perimeter of a shape is the total distance around its edges. It is an essential concept in geometry and is used to calculate the total length of a shape's boundary.

Q: How do I find the perimeter of a shape?

A: To find the perimeter of a shape, you need to add the whole numbers and fractions that make up the shape's boundary. You can use a common denominator to add fractions.

Q: What is a common denominator?

A: A common denominator is a number that all fractions can be divided by. For example, if you have fractions $\frac{1}{8}$ and $\frac{2}{8}$, the common denominator is 8.

Q: How do I add fractions with a common denominator?

A: To add fractions with a common denominator, you simply add the numerators (the numbers on top) and keep the denominator the same. For example, if you have fractions $\frac{1}{8}$ and $\frac{2}{8}$, you can add them as follows:

$\frac{1}{8} + \frac{2}{8} = \frac{3}{8}$

Q: What is the order of operations?

A: The order of operations is a set of rules that tells you which operations to perform first when solving an expression. The order of operations is:

1. Evaluate expressions inside parentheses
2. Evaluate exponential expressions
3. Multiply and divide from left to right
4. Add and subtract from left to right

Q: How do I solve an expression involving fractions?

A: To solve an expression involving fractions, you need to follow the order of operations. You can use the steps outlined above to add fractions and solve the expression.

Q: What are some real-world applications of perimeter?

A: Perimeter is used in many real-world applications, such as:

• Architecture: Perimeter is used to calculate the total length of a building's boundary.
• Engineering: Perimeter is used to calculate the total length of a bridge or a road.
• Landscaping: Perimeter is used to calculate the total length of a garden or a lawn.

Q: What are some tips and tricks for finding the perimeter of a shape?

A: Here are some tips and tricks to help you find the perimeter of a shape:

• Use a common denominator: When adding fractions, make sure to use a common denominator.
• Follow the order of operations: When solving expressions, follow the order of operations (PEMDAS).
• Add whole numbers and fractions separately: When finding the perimeter of a shape, add whole numbers and fractions separately.

Q: What are some practice problems for finding the perimeter of a shape?

A: Here are some practice problems to help you find the perimeter of a shape:

• Problem 1: Find the perimeter of a shape with whole numbers 3, 5, and 7.
• Problem 2: Find the perimeter of a shape with fractions $\frac{1}{8}$, $\frac{1}{8}$, and $\frac{2}{8}$.
• Problem 3: Find the perimeter of a shape with whole numbers 2, 4, and 6.

Conclusion

In conclusion, finding the perimeter of a shape is a simple process that involves adding whole numbers and fractions. By following two steps and using a common denominator, we can find the perimeter of a shape. The perimeter of a shape is an essential concept in geometry and is used in many real-world applications.