Fractions and Decimals

1. Fraction and decimals are related to each other. The video below explains in detail.

2. Convert   
3
4
to a decimal number.

fraction to decimal
   
3
4

3 x 25
4 x 25

75
100


=  75  ÷  100

0.75
Change the fraction to a decimal fraction.

A decimal fraction is a fraction in which the denominator is a number related to 10.

Example: 10, 100, 1000, 10000; it's basically 1 followed by any number of zeroes.
The fraction
3
4
is equal to the decimal number 0.75.

3. Convert 0.75 to a fraction.

decimal to fraction
     0.75

0.75
1.00


0.75 x 100
1.00 x 100


 75 15 3
 100 20 4


3
4


The decimal number 0.75 is equal to the fraction
3
4
.

4. Change 2.625 to a fraction.

     2.625

=  2  +  0.625

=  2  +
0.625
1.000


=  2  +
 625 125 5
 1000 200 8


=  2  +
5
8


2 5
8


The decimal number 2.625 is equal to the fraction 
2 5
8
.