Learning Target:Students will learn how to write

fractions and decimals as percents.

What is a percent?

If a percent is a ratio that compares a number to 100 then how could I use

that fact to figure out the percent of a fraction like 17/25?

You can write an equivalent ratio to the ratio given with a denominator of 100.

17/25 = 68/100 = 68%

Write the fraction as a percent.¾

7/107/209/50

Write the fraction as a percent.¾ = 75/100 = 75%

7/10 = 70/100 = 70%7/20 = 35/100 = 35%9/50 = 18/100 = 18%

What’s the only problem with finding the percent this way?

What’s the only problem with finding the percent this way?

A: Not every denominator is going to be a factor of 100 so you there will still

be times you will just have to divide the fraction to get a decimal and

change it from there.

How do you write a decimal as a percent using what we know about

how to write a percent as a decimal?

To write a percent as a decimal:

Divide the value by 100

(Move your decimal two places to the left which will make the

number smaller.)

To write a decimal as a percent:

Multiply the value by 100

(Move your decimal two places to the right which will make the

number bigger.)

But we can also write a decimal as a percent by first writing it as a fraction

and then using the what we just learned to change the fraction to a

percent.

Changing a decimal to a percent.

0.3 = 3/103/10 = 30/10030/100 = 30%

0.105 = 105/1,000105/1,000 = 10.5/100

10.5/100 = 10.5%

Write the decimal as a percent.

0.90.07

0.041

Write the decimal as a percent.

0.9 = 9/10 = 90/100 = 90%0.07 = 7/100 = 7%

0.041 = 41/1,000 = 4.1/100 = 4.1%

Now it is time for us to put all of our ideas together to understand the

relationship between a set of numbers.

Order the numbers 2/3, 60% and 0.64 from least to greatest.

What are the different ways that you could approach this problem?

Order the numbers 2/3, 60% and 0.64 from least to greatest.

A: 60%, 0.64, 2/3

It would be helpful for you to recognize common percents, decimals and

fractions such as the ones listed on the top of page 431.

You have attended 15 out of 20 computer classes. You must attend 85% of the classes to get a piece of

software free. Do you get the software? Explain.

You have attended 15 out of 20 computer classes. You must attend 85% of the classes to get a piece of

software free. Do you get the software? Explain.

A: 15 / 20 = 0.75 = 75%Since 75% < 85% you do not get the

software.

Can you write fractions and decimals as percents?