Section 6.5Fractions, Decimals, and

Percents

By: Savannah Green, Alex Voigt, and Libby Goertel

Writing a Percent as a Fraction

a. 5%

5/100

1/20

b. 125%

125/100

5/4

1 1/4

Write as a fraction with a denominator of 100

Simplify

Write as a mixed number

Writing a Percent as a Decimal

• A. 2.2%

2.2%= 2.2/100

= 002.2

= 0.022

Write as a fraction with a denominator of 100

Divide by moving the decimal point left two places. You may need to write one or more zeros.

Writing a Number as a Percent

a. 0.333

0.333 = 33/1,000

= 33.3/100

= 33.3%

b. 7/80

7/80 = 0.0875

= 0.0875

= 8.75%

• To write a percent as a decimal, write the percent as a fraction with a denominator of 100. Then divide to convert the fraction to a decimal.

• To write a decimal as a percent, rewrite the decimal as a fraction with a denominator of 100. Then write the fraction as a percent.

• To write a fraction as a percent, divide to write as a decimal first.

Ordering Rational Numbers

• Order the following numbers from least to greatest. 0.35, 2/5, 30%, and 53%

2/5 = 0.40 30% = 0.3053% = 0.53

30%, 0.35, 2/5, 53%

Ordering Rational Numbers

• Four students surveyed their English classes asking, “Do you have a pet in your home?” They reported the results as 0.35, 2/5, 30%,

and 53%. Order the results from least to greatest.

2/5 = 0.40

30%= 0.30

53%= 0.53

Write each fraction or percent as a decimal

Since 0.30 < 0.35 < 0.40 < 0.53, the numbers in order from least to greatest are 30% < 0.35 < 2/5 < 53%

Write each percent as a fraction or mixed number in simplest form

• A. 58%

• B. 72%

• C. 144%

• 29/50

• 18/25

• 18/125

Write as a decimal

• A. 62.5% • 0.625

Write each number as a percent

• A. 0.4

• B. 46/200

• C. 1.75

• 40%

• 23%

• 175%

Order each set of numbers from least to greatest

• A. ¼, 0.26, 31%, 2/7

– ¼, 0.26, 2/7, 31%

• B. 88%, 91%, 5/6, 0.71

– 0.71, 5/6, 88%, 91%

• C. 1.34, 129%, 1 1/5, 1.41

– 1 1/5, 129%, 1.34, 1.41