Today we will explain why they [decimal and percent equivalents for common fractions] represent

the same value.

equivalent= alikepercent=per hundred

Concept

There are 40 squares shaded. 40 out of 100 are shaded. This means that 40% of the

squares are shaded.

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Equivalent means to who the same number in a different way.

Equivalent

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FractionA fraction is a number

(numerator and denominator) that shows part of a whole set.

An example:

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Numerator

Denominator

Percent

Percent means per hundred. It is another way of saying

“out of one hundred.”

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Common fraction and their decimal equivalents

Fraction Decimal Percent1 1.0 100%1/3 .333 33.3%1/4 .25 25%1/5 .2 20%1/8 .125 12.5%1/10 .1 10%1/2 .5 50%2/3 .666 66.6%3/4 .75 75%2/5 .4 40%5/8 .624 62.5%9/10 .9 90%

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How to compute a given percent of a whole number.

• 1. First, find the decimal equivalent of the percent.

• 2. Multiply the whole number with the decimal equivalent of the percent.

• 3. Compute the answer.

1. Percent is per one hundred, percent may be written as a decimal very easily. Simply place a decimal to the right of the percentage.

2. Next, move the decimal to the left two places. You have now changed your percent into a decimal.

75 %. = .75

Finding the decimal equivalent of the percent.

1. Percent is per one hundred, percent may be written as a decimal very easily. Simply place a decimal to the right of the percentage.

2. Next, move the decimal to the left two places. You have now changed your percent into a decimal.

33 %. = .33

Finding the decimal equivalent of the percent.

1. Percent is per one hundred, percent may be written as a decimal very easily. Simply place a decimal to the right of the percentage.

2. Next, move the decimal to the left two places. 3. If there is only one digit, you need to write a “0” to

the left of the number. You have now changed your percent into a decimal.

3 %. = .030

1. Percent is per one hundred, percent may be written as a decimal very easily. Simply place a decimal to the right of the percentage.

2. Next, move the decimal to the left two places. 3. If there is only one digit, you need to write a “0” to

the left of the number. You have now changed your percent into a decimal.

9 %. = .090

How to Change Fractions to Percents

• Step 1 - Divide the denominator into the numerator.

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Stop! You can’tdivide a largernumber into a smaller number!

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How to Change Fractions to Percents

• Step 1 - Divide the denominator into the numerator.

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Sure you can if you use decimals.Just watch!

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How to Change Fractions to Percents

• Step 2 – Add a decimal behind your dividend and two zeros.

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Now does it look like you can divide?

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How to Change Fractions to Percents

• Step 3 – Place a decimal in your quotient exactly above the decimal.

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Putting the decimal in the right spot is important.

4)3.00.

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How to Change Fractions to Percents

• Step 4 – Divide exactly like you would with long division.

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Greatjob!

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2 820

5

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How to Change Fractions to Percents

• Step 5 – Move the decimal 2 places to the right and change the decimal to a percent sign.

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Now wasn’t that easy!

.75 %=

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Change this fraction to a percent

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The first step is to divide thedenominatorinto the numerator.

5)1

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Change this fraction to a percent

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The secondstep is to adda decimal &2 zeros after the dividend.

5)1.00

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Change this fraction to a percent

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The third step is to place the decimal in the quotient directly above the decimal.

5)1.00.

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Change this fraction to a percent

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The fourth step is to divide using long division.

5)1.00.2

1000

0

000

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The fifth step is to move the decimal point 2 places to the right and change it to a percent sign.

5)1.00.2

1000

0

000

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Change this fraction to a percent

Why is explaining why they [decimal and percent equivalents for common fractions] represent the same value.

important?

• You will know how to represent a value with either a decimal, fraction or decimal.

• It will be tested on future CST exams!

• What are other reasons why it is important to know how to find percent equivalents for common fractions.

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Now let us find decimal equivalents for common fractions

1. Divide the denominator into the numerator

2. Add a decimal behind your dividend and add two zeros

3. Place a decimal in your quotient exactly above the decimal

4. Divide exactly like you would long division

5. Move the decimal 2 places to the right and change the decimal to percentage

26

6)26)2.006)2..00.

6)2.00.3

1820

3

18 2

. %

Now let us find decimal equivalents for common fractions

1. Divide the denominator into the numerator

2. Add a decimal behind your dividend and add two zeros

3. Place a decimal in your quotient exactly above the decimal

4. Divide exactly like you would long division

5. Move the decimal 2 places to the right and change the decimal to percentage

34

4)34)3.004)3.004)3.00.7

2820

5

20 00

. %

1. Percent is per one hundred, percent may be written as a decimal very easily. Simply place a decimal to the right of the percentage.

2. Next, move the decimal to the left two places. You have now changed your percent into a decimal.

25 %. = .25

Finding the decimal equivalent of the percent.

1. Percent is per one hundred, percent may be written as a decimal very easily. Simply place a decimal to the right of the percentage.

2. Next, move the decimal to the left two places. 3. If there is only one digit, you need to write a “0” to

the left of the number. You have now changed your percent into a decimal.

7 %. = .070

Let’s review why they [decimal and percent equivalents for common

fractions] represent the same value.