Today we will find percent equivalents for common fractions.

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Presentation transcript:

Today we will find percent equivalents for common fractions. equivalent= alike percent=per hundred Concept

There are 40 squares shaded. 40 out of 100 are shaded 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. CD

Fraction A fraction is a number (numerator and denominator) that shows part of a whole set. An example: Numerator Denominator CD

Percent Percent means per hundred. It is another way of saying “out of one hundred.” CD

Common fraction and their decimal equivalents Percent 1 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% CD

How to Change Fractions to Percents Step 1 - Divide the denominator into the numerator. Stop! You can’t divide a larger number into a smaller number! 3 4 GP

How to Change Fractions to Percents Step 1 - Divide the denominator into the numerator. Sure you can if you use decimals. Just watch! 3 4 GP

How to Change Fractions to Percents Step 2 – Add a decimal behind your dividend and two zeros. Now does it look like you can divide? 3 4 4) 3 .00 GP

How to Change Fractions to Percents Step 3 – Place a decimal in your quotient exactly above the decimal. Putting the decimal in the right spot is important. . 3 4 4) 3 .00 GP

How to Change Fractions to Percents Step 4 – Divide exactly like you would with long division. . 7 5 Great job! 4) 3 .00 3 4 2 8 2 2 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. Now wasn’t that easy! 3 4 . 7 5 % = GP

Change this fraction to a percent The first step is to divide the denominator into the numerator. 1 5) 1 5 GP

Change this fraction to a percent The second step is to add a decimal & 2 zeros after the dividend. 1 5) 1 .00 5 GP

Change this fraction to a percent The third step is to place the decimal in the quotient directly above the decimal. . 1 5) 1 .00 5 GP

Change this fraction to a percent . 2 1 5) 1 .00 The fourth step is to divide using long division. 1 5 GP

Change this fraction to a percent . The fifth step is to move the decimal point 2 places to the right and change it to a percent sign. 2 % 1 5) 1 .00 5 1 GP

You will know how to convert fractions to percent equivalents. Why is understanding how to find percent equivalents for common fractions important? You will know how to convert fractions to percent equivalents. 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 . . Divide the denominator into the numerator Add a decimal behind your dividend and add two zeros Place a decimal in your quotient exactly above the decimal Divide exactly like you would long division Move the decimal 2 places to the right and change the decimal to percentage . 3 3 % 2 6) 6) 6) 6) 2 2 2 2. .00 .00 .00 6 1 8 2 2 1 8

Now let us find decimal equivalents for common fractions . . 7 5 % Divide the denominator into the numerator Add a decimal behind your dividend and add two zeros Place a decimal in your quotient exactly above the decimal Divide exactly like you would long division Move the decimal 2 places to the right and change the decimal to percentage 3 4) 4) 4) 4) 3 3 3 3 .00 .00 .00 4 2 8 2 2 00

Now let us find decimal equivalents for common fractions % Divide the denominator into the numerator Add a decimal behind your dividend and add two zeros Place a decimal in your quotient exactly above the decimal Divide exactly like you would long division Move the decimal 2 places to the right and change the decimal to percentage . 2 5 1 4) 4) 4) 4) 1 1 1 1 .00 .00 .00 4 8 2 2 00

Let’s review how to find percent equivalents for common fractions alike What is an equivalent ? What are percents? How do you write as a percentage? out of 100 2 100