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Changing Decimal Numbers to Fractions

Changing Decimal Numbers to Fractions. Michele Webb. Introduction. Students will learn to change decimal numbers to fractions and mixed numbers. Topics of Discussion.

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Changing Decimal Numbers to Fractions

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  1. Changing Decimal Numbers to Fractions Michele Webb

  2. Introduction • Students will learn to change decimal numbers to fractions and mixed numbers.

  3. Topics of Discussion • 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.

  4. Name the place values What is the place value of the nonzero digit? 0.4 Tenths 0.04 Hundredths 0.004 Thousandths 0.0004 Ten thousandths

  5. 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 4/10 = 2/5 0.04 4/100 =1/25 0.004 4/1000 = 1/250 0.0004 4/10000 = 1/2500

  6. 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

  7. 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

  8. 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.

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

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