5 2 Changing Between Percents Decimals and Fractions

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§ 5. 2 Changing Between Percents, Decimals, and Fractions © 2010 Pearson Prentice Hall.

§ 5. 2 Changing Between Percents, Decimals, and Fractions © 2010 Pearson Prentice Hall. All rights reserved

Percents to Fractions Any percent can be written as a fraction whose denominator is

Percents to Fractions Any percent can be written as a fraction whose denominator is 100. The fraction should be simplified if possible. Example: Convert 59. 6% into a fraction in simplest form. Write as a decimal. Write as a fraction. Simplify. Tobey & Slater, Basic College Mathematics, 6 e 2

Percents to Fractions Example: Convert form. into a fraction in simplest Write as a

Percents to Fractions Example: Convert form. into a fraction in simplest Write as a fraction. Write the division horizontally. Multiply by the reciprocal. Simplify. Tobey & Slater, Basic College Mathematics, 6 e 3

Fractions to Percents A convenient way to write a fraction as a percent is

Fractions to Percents A convenient way to write a fraction as a percent is to write the fraction in decimal form first and then convert the decimal into a percent. Example: Write as a percent. Divide. This could also be Write as a decimal. written as Write as a percent. Tobey & Slater, Basic College Mathematics, 6 e 4

Equivalent Forms Fractions, percents, and decimals are three different forms for the same number.

Equivalent Forms Fractions, percents, and decimals are three different forms for the same number. Example: Complete the following table of equivalent notations. Fraction Decimal Percent 9 10 0. 56 Example continues. Tobey & Slater, Basic College Mathematics, 6 e 5

Equivalent Forms Fraction Decimal Percent The fraction is changed to a decimal is changed

Equivalent Forms Fraction Decimal Percent The fraction is changed to a decimal is changed to a percent. Tobey & Slater, Basic College Mathematics, 6 e 6