Bell WorkChange each fraction to a decimal.

1) ½

2) 4/5

3) 2/3

4) 1/8

Learn to model percents and to write percents as equivalent fractions and decimals.

Learn to write decimals and fractions as percents.

Vocabulary

Percent – A ratio of a number to a hundred. The word percent means “per hundred.”

The symbol % means “percent.”

Write the percent modeled by the grid.

Modeling Percents

shaded total

_______ 66100

___ = 66%

Write the percent modeled by the grid.

A. B.

shaded total

_______ 44100

___ = 44% shaded total

_______ 75100

___ = 75%

Modeling Percents

Write 28% as a fraction in simplest form.

So 28% can be written as .

Write the percent as a fraction with a denominator of 100.

Simplify.

28% =28

100

725

=

725

Writing Percents as Fractions

The students at Westview Middle School are collecting cans of food for the local food bank. Their goal is to collect 2,000 cans in one month. After 10 days, they have 800 cans of food. What percent of their goal have they reached?

Fractions, Decimals, and Percents

0 200 400 600 800 1,000 1,200 1,400 1,600 1,800 2,000

0 15

25

35

45

55

0 0.2 0.4 0.6 0.8 1.0

0 20% 40% 60% 80% 100%

The model shows that 800 out of 2,000 can be written as , ,

0.4, or 40%. The students have reached 40% of their goal.

8002000

25

Fractions, Decimals, and Percents

Write 0.7 as a percent.

0.7 = 70100

= 70%

Write the decimal as a fraction with a denominator of 100.

Write the numerator with a percent sign.

710

=

Writing Decimals as Percents

Write 0.93 as a percent.

0.93 =

= 93%

Move the decimal point two places to the right and add a percent sign.

93%

Writing Decimals as Percents

Write as a percent.58

58

= 5 ÷ 8

= .625

= 62.5%

Use division to write the fraction as a decimal.

Write the decimal as a percent.

To divide 5 by 8, use long division and place a decimal point followed by a zero after the 5.

8 5.00

Remember!

.625

Writing Fractions as Decimals and Percents

Order 17%, 0.25, , 0.1, , and 20% from least to greatest.

Step 1: Write the numbers as decimals with the same number of decimal places.

17% = 0.17

45

34

0.25 = 0.25 34 = 0.75

0.1 = 0.10 45 = 0.80 20% = 0.20

Ordering Rational Numbers

Order 17%, 0.25, , 0.1, , and 20% from least to greatest.

Step 2: Compare the decimals.

17% = 0.17

45

34

0.25 = 0.25 34

= 0.75

0.1 = 0.1045

= 0.80

20% = 0.20

Ordering Rational Numbers

Step 3: Re-order numbers using original format.

0.1, 17%, 20%, .25, 34

, 45

Decide whether using pencil and paper, mental math, or a calculator is most useful when solving the following problem. Then solve.

27 out of 50 =

Using pencil and paper is the best method.

Think: 27 ÷ 50 divides evenly.

Write the decimal as a percent.

Real-World Application

If 27 out of 50 people have the newspaper delivered to their home, what percent of these people have the newspaper delivered to their home?

2750

= 0.54

= 54%54% of the people have the newspaper delivered to their home.