Draw a model to represent the following quotient 2 1\2 / 2\3

To represent the quotient 2 1/2 divided by 2/3, we can use a visual model called a fraction bar or division line.

First, draw a horizontal line to represent the division line.

Next, divide the line into two parts, one for the numerator and one for the denominator.

On the left side of the line, write the numerator 2 1/2, which can also be written as an improper fraction 5/2.

On the right side of the line, write the denominator 2/3.

Now, we have the fraction bar or division line with the numerator 5/2 on the left side and the denominator 2/3 on the right side.

Here's what the model looks like:

5/2
--------
2/3

To draw a model representing the quotient 2 1/2 / 2/3, we can use a visual representation called fraction bars.

Here are the steps to draw the model:

1. Start with a rectangle to represent the whole value, which in this case is 2 1/2.

2. Divide the rectangle into two equal parts to represent the whole value of 2. Label each part as "1" to indicate 1 whole.

3. Take one of the divided parts and divide it into three equal parts, representing the fractional value of 1/2. Label each part as "1/2" to indicate 1/2 of a whole.

4. Now, divide the other whole part (the second part obtained in step 2) into three equal parts, representing the fractional value of 2/3. Label each part as "2/3" to indicate 2/3 of a whole.

5. Finally, divide the fractional part labeled "1/2" into two equal parts, each labeled as "1/4", to make it compatible with the denominator of 3 in "2/3".

6. Now, compare the divided parts of "2/3" with the divided parts of "1/2". Each fraction will have two parts labeled "1/4", so there are two "1/4" parts in each "2/3" part.

By visually representing the quotient using fraction bars, you can see that there are two "1/4" parts present in each "2/3" part, and since there are 2 whole parts in the numerator, the quotient is equal to 4.

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