Fractions, Decimals and Percents

What is a percent???

•Percent : A ratio of a number to 100. The symbol % is used to indicate that a number is a percent .

•Example : 40% is the ratio 40 to 100, or 40

100

•Percents can be written as fractions or decimals

Writing Percents as Fractions• Write 35% as a

fraction in simplest form.

▫35% = 35 100

= 7 20

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

▫ Simplify

Writing Percents as Fractions• Write 88% as a fraction

• 88% = 88 100

= 22 25

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

▫ Simplify

Your Turn…

•Write 2% as a fraction

Your Turn

•Write 45% as a fraction

Writing Percents as Decimals• Write 43% as a

decimal.

• 43% = 43 100

• = 0.43

• 43% = 43. = 0.43

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

• Write the fraction as a decimal

• All you have to do is move the decimal to the LEFT 2 times!

Writing Percents as Decimals• Write 105% as a

decimal.

• 105% = 105 100

• = 1.05

• 105% = 105. = 1.05

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

• Write the fraction as a decimal

• All you have to do is move the decimal to the LEFT 2 times!

Your Turn…

•Write 16% as a decimal

Your Turn…

•Write 104% as a decimal

Writing Decimals as Percents• Write 0.07 as a

percent.

• 0.07 = 7 100

• = 7%

• 0.07 = 0.07 = 7%

• Write the decimal as a fraction

• Write the fraction as a percent

• All you have to do is move the decimal to the RIGHT 2 times!

Writing Decimals as Percents• Write 0.038 as a

percent.

• 0.038 = 0.038 1000

• = 3.8%

• 0.038 = 0.038 = 3.8%

• Write the decimal as a fraction

• Write the fraction as a percent

• All you have to do is move the decimal to the RIGHT 2 times!

Your Turn

•Write 0.57 as a percent

Your Turn

•Write 0.2 as a percent

Writing Fractions as Percents• Write 4 as a percent 5

• 4 = 4 • 20 5 5 • 20

• = 80 100

• = 80%

• Write an equivalent fraction with a denominator of 100.

• Write the fraction as a percent

Writing Fractions as Percents• Write 3 as a percent 8

• 3 = 3 ÷ 8 8

• = 0.375

• = 37.5%

• Use division to write the fraction

• Write the decimal as a percent

Your Turn…

•Write 3 as a fraction 10

Your Turn…

•Write 11 as a fraction 40