Fractions & Percents

Expressing Percents as Fractions and Fractions as Percents

PercentsPercents

A A percent percent is a part to whole ratio that is a part to whole ratio that compares a number to 100.compares a number to 100.

Percent comes from the Latin word Percent comes from the Latin word centumcentum, , which means “hundred”.which means “hundred”.

To write a percent as a fraction, express the To write a percent as a fraction, express the ratio as a fraction with a denominator of 100.ratio as a fraction with a denominator of 100.

80% means 80 out of 100 or 80/100. 80% means 80 out of 100 or 80/100.

Percents as FractionsPercents as Fractions

Example:Example: Express 45% as a fraction.Express 45% as a fraction.

Express 5% as a fraction.Express 5% as a fraction.

100

45

100

5

Express percents as fractions:

Your TurnExpress Percents as Fractions

1. 45%

2. 7%

3. 223%

100

45

100

7

100

223

Percents as Fractions

On a radio station’s top song countdown, 58% of the songs were sung by women. What fraction of the songs were sung by women?

58% =

Can you express the fraction in reduced form?

100

58

50

29

100

58

Fractions as Percents

A fraction represents a part of a whole. The numerator represents a number of equal

parts. The denominator (which cannot be zero) indicates how many of those parts make up a whole.

Fraction comes from the Latin word fractus which means “broken”.

To write a fraction as a percent, write an equivalent fraction with a denominator of 100

Set up an equivalent fraction with a denominator of 100.

Express as a percent.

What would you have to multiply the denominator “4” by to get to 100?

x 25

x 25

Convert numerator

14

Express as a percent.35

x 20

x 20

Fractions as PercentsYour Turn

1.

2.

3.

4.

1. 80%

2. 5%

3. 16%

4. 90%

5

4

20

1

25

4

10

9

Fractions as Percents

You buy a shirt that is cotton, polyester, and the rest is linen.

a) What percent of the shirt is cotton? b) What percent of the shirt is polyester? c) What percent of the shirt is linen?

a) 25%

b) 60%

c) 15%

4

1

5

3

QUESTIONS?