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# Changing Decimal Numbers to Fractions - PowerPoint PPT Presentation

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

Michele Webb

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

• 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.

What is the place value of the nonzero digit?

0.4 Tenths

0.04 Hundredths

0.004 Thousandths

0.0004 Ten thousandths

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

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

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

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.

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