Converting Fractions to Converting Fractions to PercentsPercents

ObjectivesObjectivesI can determine equivalence by converting

between benchmark fraction, decimals, and percents.

Language:

I can use and identify grade-specific vocabulary related to converting between fractions, decimals, and percents.

Essential QuestionsEssential Questions 1. What are benchmark fractions, decimals, and percents?

How are they related to each other? 2. What are benchmark fractions, decimals, and percents?

How would you compare them to part of a whole? 3. What are benchmark fractions, decimals, and percents?

How can they be represented? 4. What are the procedural steps to convert between

fractions, decimals, and percents? Why are these procedures important? Why do we need to convert between fractions, decimals, and percents.

Some things can look different Some things can look different without really changing.without really changing.

They all represent the same amount just in different ways.

The same goes for fractions, The same goes for fractions, decimals, and percents.decimals, and percents.

We can represent a number in different ways but it is still the same amount.

How to Change Fractions to How to Change Fractions to PercentsPercents

Step 1 - Divide the denominator into the numerator. (NIDO)

34

Stop! You can’tdivide a largernumber into a

smaller number!

How to Change Fractions to How to Change Fractions to PercentsPercents

Step 1 - Divide the denominator into the numerator. (NIDO)

34

Sure you can if you use decimals.

Just watch!

How to Change Fractions to How to Change Fractions to PercentsPercents

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

34

Now does it look like you can divide?

4) 3.00

How to Change Fractions to How to Change Fractions to PercentsPercents

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

34

Putting the decimal in the right spot is important.

4) 3.00.

How to Change Fractions to How to Change Fractions to PercentsPercents

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

34

Greatjob!

4) 3.00.7

2 820

5

20

How to Change Fractions to How to Change Fractions to PercentsPercents

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 %=

Change this fraction to a percentChange this fraction to a percent

15

The first step is to divide thedenominator

into the numerator.

5)1

Change this fraction to a percentChange this fraction to a percent

15

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

5)1.00

Copyright © 2000 by Monica Yuskaitis

Change this fraction to a percentChange this fraction to a percent

15

The third step is to place the decimal in the

quotient directly above the decimal.

5)1.00.

Change this fraction to a percentChange this fraction to a percent

15

The fourth step is to

divide using long division.

5)1.00.2

1 000

0

000

Change this fraction to a percentChange this fraction to a percent

15

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

1 000

0

000

%

Your TurnYour Turn

Change the fraction to a percent.

1

2

1. Divide (NIDO)2. Add a decimal and 2

zeros. 3. Move the decimal up to

the quotient.4. Solve like a division

problem.5. Move decimal over 2

times to the right and change to percent.

Your TurnYour Turn

Change the fraction to a percent.

1

4

1. Divide (NIDO)2. Add a decimal and 2

zeros. 3. Move the decimal up to

the quotient.4. Solve like a division

problem.5. Move decimal over 2

times to the right and change to percent.

Your TurnYour Turn

Change the fraction to a percent.

2

5

1. Divide (NIDO)2. Add a decimal and 2

zeros. 3. Move the decimal up to

the quotient.4. Solve like a division

problem.5. Move decimal over 2

times to the right and change to percent.

Your TurnYour Turn

Change the fraction to a percent.

3

5

1. Divide (NIDO)2. Add a decimal and 2

zeros. 3. Move the decimal up to

the quotient.4. Solve like a division

problem.5. Move decimal over 2

times to the right and change to percent.

ClosureClosure

In your whiteboards please explain to me the steps we use to convert a fraction to a percent.

* Clue: There are 5 steps.

In your journal, on a new piece of paper, In your journal, on a new piece of paper, please convert these fractions to percents. please convert these fractions to percents.

Show all work.Show all work.

12143413

=

=

=

=

50%

25%

75%

33.3%

=

=

=

=

66.6%

20%

40%

60%

23152535