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Converting from Decimals to Fractions 4.7 - McGraw-Hill

Converting from Decimals to Fractions 4.7 - McGraw-Hill

Converting from Decimals to Fractions 4.7 -

© 2001 McGraw-Hill Companies 4.7 NOTE Divide the numerator and denominator by 5. Converting from Decimals to Fractions 4.7 OBJECTIVES 1. Convert a decimal to a common fraction Using what we have learned about place values, you can easily write decimals as common fractions. The following rule is used. Step by Step: To Convert a Terminating Decimal Less Than 1 to a Common Fraction Step 1 Write the digits of the decimal without the decimal point. This will be the numerator of the common fraction. Step 2 The denominator of the fraction is a 1 followed by as many zeros as there are places in the decimal. Example 1 Converting a Decimal to a Common Fraction 7 9 257 0.7 0.09 0.257 10 100 1000 One place One zero Two places Two zeros Three places Three zeros CHECK YOURSELF 1 Write as common fractions. (a) 0.3 (b) 0.311 When a decimal is converted to a common fraction, the common fraction that results should be written in lowest terms. Example 2 Converting a Decimal to a Common Fraction Convert 0.395 to a fraction and write the result in lowest terms. 0.395 395 79 1000 200 CHECK YOURSELF 2 Write 0.275 as a common fraction. 379

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