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%

Apart from the stuff given above, if you need any other stuff in math, please use our google custom search here.

HTML Comment Box is loading comments...

You can also visit the following web pages on different stuff in math.

**WORD PROBLEMS**

**Word problems on simple equations **

**Word problems on linear equations **

**Word problems on quadratic equations**

**Area and perimeter word problems**

**Word problems on direct variation and inverse variation **

**Word problems on comparing rates**

**Converting customary units word problems **

**Converting metric units word problems**

**Word problems on simple interest**

**Word problems on compound interest**

**Word problems on types of angles **

**Complementary and supplementary angles word problems**

**Trigonometry word problems**

**Markup and markdown word problems **

**Word problems on mixed fractrions**

**One step equation word problems**

**Linear inequalities word problems**

**Ratio and proportion word problems**

**Word problems on sets and venn diagrams**

**Pythagorean theorem word problems**

**Percent of a number word problems**

**Word problems on constant speed**

**Word problems on average speed **

**Word problems on sum of the angles of a triangle is 180 degree**

**OTHER TOPICS **

**Time, speed and distance shortcuts**

**Ratio and proportion shortcuts**

**Domain and range of rational functions**

**Domain and range of rational functions with holes**

**Graphing rational functions with holes**

**Converting repeating decimals in to fractions**

**Decimal representation of rational numbers**

**Finding square root using long division**

**L.C.M method to solve time and work problems**

**Translating the word problems in to algebraic expressions**

**Remainder when 2 power 256 is divided by 17**

**Remainder when 17 power 23 is divided by 16**

**Sum of all three digit numbers divisible by 6**

**Sum of all three digit numbers divisible by 7**

**Sum of all three digit numbers divisible by 8**

**Sum of all three digit numbers formed using 1, 3, 4**

**Sum of all three four digit numbers formed with non zero digits**