today we will explain why they [decimal and percent equivalents for common fractions] represent the...

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.

APK

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.

34

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?

4)3.00GP

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!

4)3.00.7

2 820

5

20 GP

How to Change Fractions to Percents

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

34

Now wasn’t that easy!

.75 %=

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Change this fraction to a percent

15

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

15

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

15

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

%

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.

IMP

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.