Step by step direction for convert fractions and decimals

Question

My fifth grade daughter is having trouble in math she's A+ student but math is getting really hard she's working on convert fractions and decimals numbers and doesn't understand it help.

Answer 1

That's a HUGE topic. There are many web sites that develop the concepts and provide practice.

 

This might help:

http://www.wyzant.com/resources/lessons/math/elementary_math/fractions

Answer 2

Normal fractions are dealt like division

                                                       

        0.75       

    4 l30                                            

        28                                                  

          20

          20                                              

           0

                                              

Decimal fractions , convert the way is read, and simplify.

 

    2. 134

 

   2 is 1's

   0.1   one tenth

   0 .13   3 hundredth

   0 .134   4 thousandth

 

 2. 134 = 2*1 + 1* 0.1 + 3 * 0.01 + 4 * 0.004

 

     

          0.75 seventy five hundredths

         

            0.75 = 75/100  =3/4

 

Answer 3

Whew, that's a lot of subject matter to cover in an Answers forum; but here are the conversion operations in a nutshell. 

 

To change a fraction into a decimal, divide the numerator (top) of the fraction by the denominator (bottom) of the fraction.  For example, to change 3/8 to a decimal, divide 3 by 8:

 

   __.375_

8 )3.000

   -2 4

    ----

       60

      -56

       ---

         40

        -40

        ----

           0

 

Therefore, 3/8 = 0.375

 

For a mixed number like 2 3/8, it's easiest to convert it to an improper fraction, 2 3/8  = 19/8, then do the division.

 

To change a decimal into a fraction, you have to know the place-values of each decimal position.  The first place after the decimal is tenths (1/10), the second place is hundredths (1/100), the third place is thousandths (1/1000), and so on.

 

A decimal such as .375 then is 3/10 + 7/100 + 5/1000 = 300/1000 + 70/1000 + 5/1000 = 375/1000.  Note that this is just the three numbers, 375, divided by the lowest decimal place value, 1/1000.

 

You can reduce the fraction as follows: 375/1000 = 3*125/8*125 = 3/8

 

Hope that helps some.