Converting(Changing) Fractions To Decimals

Elementary Math (K-6th) Tutorial

Converting(Changing) Fractions To Decimals

Intro

Converting fractions to decimals can be a little hard. However, there are ways to do so. You can use division because of the numerator(top part)/denominator(bottom part), like for example, 4/5. When you divide the fraction the numerator is in the inside, and the denominator is on the outside. Add two zeros and move the decimal point to two places to the right, like for example, 4—> 400.

0.8
________
5) 400.
-40
______
0
It can be 0.8 or 0.80 because the zero is used as the placeholder. Either 0.8 or 0.80 is fine.

Sample Problem

Convert fractions to decimals.
1. 3/5
2. 5/8
3. 1/2

Solution

      0.6           
    _______                Multiply by 20 on both sides.
1. 5) 300.                 3*20=60
      -30                  5*20=100
     _______               60/100= 6/10= 3/5
         0
  
      0.625
    _________              Multiply by 12.5 on both sides because 100/8=12.5 or 12.50.
2. 8) 500.0                5*12.5=62.5
    - 48                   8*12.5=100
   ________                62.5/100= 62.50/100= 6.25/10= 5/8
       20
     - 16
     ________
        40
     -  40

     0.5
    ________              Multiply by 50 on both sides.
3. 2) 100.                1*50=50
    - 10                  2*50=100
  _________               50/100= 5/10= 1/2
       0
    



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