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