In this section, we will learn the connection between fractions and percents using models.

We can use a percent bar model to model a ratio expressed as a fraction and to find an equivalent percent.

**Problem 1 : **

Use a percent bar model to find an equivalent percent for 1/4 .

**Solution :**

Draw a model to represent 100 and divide it into fourths.

Shading 1/4, we get

**Problem 2 : **

If 1/4 of 100 is 25, what is 1/4 of 100% ?

**Solution :**

Given : 1/4 of 100 = 25

Then, we have

1/4 of 100% = 25%

**Problem 3 : **

Tell which operation you can use to find 1/4 of 100. Then find 1/4 of 100%.

**Solution :**

In math, always the word "of" is translated to

**"Multiplication"**

So, we have

1/4 of 100 = (1/4) x 100 = 25

Since we have 1/4 of 100 = 25, we have

1/4 of 100% = 25%

**Problem 4 : **

Use a percent bar model to find an equivalent percent for 1/3 .

**Solution :**

Draw a model to represent 100 and divide it into thirds.

Shading 1/3, we get

**Problem 5 : **

Tell which operation you can use to find 1/3 of 100. Then find 1/3 of 100%.

**Solution :**

In math, always the word "of" is translated to

**"Multiplication"**

So, we have

1/3 of 100 = (1/3) x 100 = 100/3 = 33 1/3

Since we have 1/3 of 100 = 33 1/3, we have

1/3 of 100% = 33 1/3%

**Problem 6 : **

Jo says she can find the percent equivalent of 3/4 by multiplying the percent equivalent of 1/4 by 3. How can we use a percent bar model to support this claim?

**Solution :**

Shade three 1/4 sections to show 3/4.

Since 1/4 = 25%, we have

3/4 = 3 x 25% = 75%

That is

**Problem 7 : **

Tell which operation you can use to share $120 equally among four people. Find the percentage of $120 that each person gets.

**Solution :**

If we want share a quantity into equal parts, we always have to use the operation

**"Division"**

Since we share $120 equally among four people, we have to divide $120 by 4.

$120 ÷ 4 = $30

Percentage of $120 that each person gets is

= (30/120) x 100%

= 25%

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