Solved on Mar 26, 2024

Find $\frac{2}{3}$ of 18 and represent the result using a visual set diagram.

STEP 1

1. The fraction $\frac{2}{3}$ represents a part of a whole, which in this case is the number 18.
2. To find $\frac{2}{3}$ of 18, we multiply $\frac{2}{3}$ by 18.
3. A set can be represented visually, and shading parts of it can illustrate the fraction of the whole set.

STEP 2

1. Calculate $\frac{2}{3}$ of 18 by multiplication.
2. Draw a set representing the number 18.
3. Shade the appropriate part of the set to represent $\frac{2}{3}$ .

STEP 3

Calculate $\frac{2}{3}$ of 18 by multiplying the fraction by the number:
$\frac{2}{3} \times 18$

STEP 4

Simplify the multiplication by first multiplying 2 by 18 and then dividing by 3:
$\frac{2 \times 18}{3}$

STEP 5

Perform the multiplication:
$\frac{36}{3}$

STEP 6

Divide 36 by 3 to find the final result:
$\frac{36}{3} = 12$

STEP 7

Draw a set representing the number 18. This could be a rectangle divided into 18 equal parts or 18 distinct items grouped together.

STEP 8

Ensure that the set is divided in such a way that it can be easily separated into thirds.

STEP 9

Shade $\frac{2}{3}$ of the set. If the set is divided into 18 equal parts, shade 12 of them to represent $\frac{2}{3}$ of 18.
The solution to the problem is that $\frac{2}{3}$ of 18 is 12. The set drawing and shading would visually represent this by showing 12 out of 18 parts shaded.

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Find $\frac{2}{3}$ of 18 and represent the result using a visual set diagram.

STEP 1

1. The fraction $\frac{2}{3}$ represents a part of a whole, which in this case is the number 18.
2. To find $\frac{2}{3}$ of 18, we multiply $\frac{2}{3}$ by 18.
3. A set can be represented visually, and shading parts of it can illustrate the fraction of the whole set.

STEP 2

1. Calculate $\frac{2}{3}$ of 18 by multiplication.
2. Draw a set representing the number 18.
3. Shade the appropriate part of the set to represent $\frac{2}{3}$ .

STEP 3

Calculate $\frac{2}{3}$ of 18 by multiplying the fraction by the number:
$\frac{2}{3} \times 18$

STEP 4

Simplify the multiplication by first multiplying 2 by 18 and then dividing by 3:
$\frac{2 \times 18}{3}$

STEP 5

Perform the multiplication:
$\frac{36}{3}$

STEP 6

Divide 36 by 3 to find the final result:
$\frac{36}{3} = 12$

STEP 7

Draw a set representing the number 18. This could be a rectangle divided into 18 equal parts or 18 distinct items grouped together.

STEP 8

Ensure that the set is divided in such a way that it can be easily separated into thirds.

STEP 9

Shade $\frac{2}{3}$ of the set. If the set is divided into 18 equal parts, shade 12 of them to represent $\frac{2}{3}$ of 18.
The solution to the problem is that $\frac{2}{3}$ of 18 is 12. The set drawing and shading would visually represent this by showing 12 out of 18 parts shaded.

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Find 23\frac{2}{3}32​ of 18 and represent the result using a visual set diagram.

STEP 1

1. The fraction 23\frac{2}{3}32​ represents a part of a whole, which in this case is the number 18.2. To find 23\frac{2}{3}32​ of 18, we multiply 23\frac{2}{3}32​ by 18.3. A set can be represented visually, and shading parts of it can illustrate the fraction of the whole set.

STEP 2

1. Calculate 23\frac{2}{3}32​ of 18 by multiplication.2. Draw a set representing the number 18.3. Shade the appropriate part of the set to represent 23\frac{2}{3}32​.

STEP 3

Calculate 23\frac{2}{3}32​ of 18 by multiplying the fraction by the number:23×18 \frac{2}{3} \times 18 32​×18

STEP 4

Simplify the multiplication by first multiplying 2 by 18 and then dividing by 3:2×183 \frac{2 \times 18}{3} 32×18​

STEP 5

Perform the multiplication:363 \frac{36}{3} 336​

STEP 6

Divide 36 by 3 to find the final result:363=12 \frac{36}{3} = 12 336​=12

STEP 7

Draw a set representing the number 18. This could be a rectangle divided into 18 equal parts or 18 distinct items grouped together.

STEP 8

Ensure that the set is divided in such a way that it can be easily separated into thirds.

STEP 9

Shade 23\frac{2}{3}32​ of the set. If the set is divided into 18 equal parts, shade 12 of them to represent 23\frac{2}{3}32​ of 18.The solution to the problem is that 23\frac{2}{3}32​ of 18 is 12. The set drawing and shading would visually represent this by showing 12 out of 18 parts shaded.

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

Find $\frac{2}{3}$ of 18 and represent the result using a visual set diagram.

1. The fraction $\frac{2}{3}$ represents a part of a whole, which in this case is the number 18.
2. To find $\frac{2}{3}$ of 18, we multiply $\frac{2}{3}$ by 18.
3. A set can be represented visually, and shading parts of it can illustrate the fraction of the whole set.

1. Calculate $\frac{2}{3}$ of 18 by multiplication.
2. Draw a set representing the number 18.
3. Shade the appropriate part of the set to represent $\frac{2}{3}$ .

Calculate $\frac{2}{3}$ of 18 by multiplying the fraction by the number:
$\frac{2}{3} \times 18$

Simplify the multiplication by first multiplying 2 by 18 and then dividing by 3:
$\frac{2 \times 18}{3}$

Perform the multiplication:
$\frac{36}{3}$

Divide 36 by 3 to find the final result:
$\frac{36}{3} = 12$

Shade $\frac{2}{3}$ of the set. If the set is divided into 18 equal parts, shade 12 of them to represent $\frac{2}{3}$ of 18.
The solution to the problem is that $\frac{2}{3}$ of 18 is 12. The set drawing and shading would visually represent this by showing 12 out of 18 parts shaded.