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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What is the place value of the nonzero digit?
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.
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!!!!!