Question Represent $8 \div \frac{2}{3}$ using a diagram and write an equation to solve it.

Studdy Solution

STEP 1

Assumptions1. We are asked to divide8 by/3. We are asked to draw a diagram to represent this division3. We are asked to write an equation to show the solution

STEP 2

First, let's understand the division operation. When we say "8 divided by2/", it means how many2/ are there in8.

STEP 3

To represent this in a diagram, we can draw a line and mark it as8 units long. This represents the total amount we are dividing.

STEP 4

Next, we divide this line into segments, each of length2/3 units. This represents the amount we are dividing by.

STEP 5

Count the number of segments to find the result of the division.

STEP 6

Now, let's write the equation to show the solution. The equation for division is $8 \div \frac{2}{3} = ?$

STEP 7

To solve this equation, we can multiply the dividend () by the reciprocal of the divisor (2/3).
$\div \frac{2}{3} = \times \frac{3}{2}$

STEP 8

Perform the multiplication to find the solution.
$8 \times \frac{3}{2} =12$ So, there are12 segments of length2/3 in8.

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Question Represent $8 \div \frac{2}{3}$ using a diagram and write an equation to solve it.

Studdy Solution

STEP 1

Assumptions1. We are asked to divide8 by/3. We are asked to draw a diagram to represent this division3. We are asked to write an equation to show the solution

STEP 2

First, let's understand the division operation. When we say "8 divided by2/", it means how many2/ are there in8.

STEP 3

To represent this in a diagram, we can draw a line and mark it as8 units long. This represents the total amount we are dividing.

STEP 4

Next, we divide this line into segments, each of length2/3 units. This represents the amount we are dividing by.

STEP 5

Count the number of segments to find the result of the division.

STEP 6

Now, let's write the equation to show the solution. The equation for division is $8 \div \frac{2}{3} = ?$

STEP 7

To solve this equation, we can multiply the dividend () by the reciprocal of the divisor (2/3).
$\div \frac{2}{3} = \times \frac{3}{2}$

STEP 8

Perform the multiplication to find the solution.
$8 \times \frac{3}{2} =12$ So, there are12 segments of length2/3 in8.

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Question Represent 8÷238 \div \frac{2}{3}8÷32​ using a diagram and write an equation to solve it.

Studdy Solution

STEP 1

Assumptions1. We are asked to divide8 by/3. We are asked to draw a diagram to represent this division3. We are asked to write an equation to show the solution

STEP 2

First, let's understand the division operation. When we say "8 divided by2/", it means how many2/ are there in8.

STEP 3

To represent this in a diagram, we can draw a line and mark it as8 units long. This represents the total amount we are dividing.

STEP 4

Next, we divide this line into segments, each of length2/3 units. This represents the amount we are dividing by.

STEP 5

Count the number of segments to find the result of the division.

STEP 6

Now, let's write the equation to show the solution. The equation for division is8÷23=?8 \div \frac{2}{3} = ?8÷32​=?

STEP 7

To solve this equation, we can multiply the dividend () by the reciprocal of the divisor (2/3).÷23=×32 \div \frac{2}{3} = \times \frac{3}{2}÷32​=×23​

STEP 8

Perform the multiplication to find the solution.8×32=128 \times \frac{3}{2} =128×23​=12So, there are12 segments of length2/3 in8.

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Start learning now

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

Question Represent $8 \div \frac{2}{3}$ using a diagram and write an equation to solve it.

Now, let's write the equation to show the solution. The equation for division is $8 \div \frac{2}{3} = ?$

To solve this equation, we can multiply the dividend () by the reciprocal of the divisor (2/3).
$\div \frac{2}{3} = \times \frac{3}{2}$

Perform the multiplication to find the solution.
$8 \times \frac{3}{2} =12$ So, there are12 segments of length2/3 in8.