lesson49 Mrs. Wise
Changing Decimals To Fractions

Follow the steps:

1.  Name the place value of the last digit.
2.  Write that place value as the denominator(bottom      number).
3.  Write everything to the right of the decimal point as    the numerator (top number).
4.  Write everything to the left of the decimal point as a    whole number.
5.  Reduce the fraction.

Example:

1.98     === the 8 is in the hundredths place
 /100   === the bottom number will be 100
98/100   === the top number will be 98
1 98/100 === the 1 goes on the outside
1 49/50  === reduce

Example:

0.234    === the 4 is in the thousandths place
  /1000 === the bottom number will be 1000
234/1000 === the top number will be 234
234/1000 === the 0 doesn't have to be written
117/500  === reduced

Changing Fraction To Decimal

Follow the steps:
1.  Divide the bottom number into the top number.
2.  Keep the whole number to the left of the decimal point.
3.  Remember rules for dividing decimals.
a.  Exact answers are best.
b.  Repeating answers are next.
c.  If neither, then round to the nearest hundredths        place.

Example:

5/8    === divide the bottom into the top
5 ÷ 8  === add a decimal and 0's
.625   === exact answer

Example:

4/7    === divide the bottom into the top
4 ÷ 7  === add a decimal and 0's
.571.. === not exact or repeating
.57    === round to the nearest hundredth

Example:

1/3    === divide the bottom into the top
1 ÷ 3  === add a decimal and 0's
.33333 === repeating .3 with bar over the top (the computer won't let me do this)

Go on to the       activity that is listed at the bottom of the page.  Your homework will be
Last updated  2008/09/28 07:33:21 PDTHits  117