Changing Decimal Numbers To Fractions (1)

Changing Decimal Numbers to Fractions 03/25/09

Michele Webb

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Introduction 

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Students will learn to change decimal numbers to fractions and mixed numbers.

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Topics of Discussion 

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Students will use their knowledge of decimal places to help them write a decimal number as a fraction in terms of place value. Students will then use that fraction and reduce it to lowest terms.

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Name the place values What is the place value of the nonzero digit? 0.4 0.04 0.004 0.0004

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Tenths Hundredths Thousandths Ten thousandths

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Write the number as a fraction using place value. Write the nonzero part of the decimal as a fraction over the place value and reduce the fraction. 0.4 0.04 0.004 0.0004 03/25/09

4/10 = 2/5 4/100 =1/25 4/1000 = 1/250 4/10000 = 1/2500 5

Try these: Put the nonzero part of the decimal over the place value. 0.425 = 425/1000 = 17/40 (divide both by 25 to simplify) 0.33 = 33/100

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Decimals to Mixed Numbers If the decimal number has whole numbers also, write the fraction as we have practiced and add the whole number to the front. Examples: 2.625 = 2 + 625/1000 = 2 + 5/8 = 2 5/8 4.3 = 4 + 3/10 = 4 3/10 03/25/09

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What This Means All this means is that can be extremely easy to change decimal numbers to fractions and mixed numbers. It just takes a little effort and patience.

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Next Step The next thing to learn is to go from fractions to decimals. It is just as easy!!!!!

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