Introduction about fraction:

If two numbers are in a / b form, then it said to be a fraction notation,

Here,    a (numerator)/ b (denominator) à  both ‘a’ and ‘b’ not equal to zero.

 

Types of fraction:

1. Proper Fraction.

2. Improper Fraction.

3. Mixed Fraction.

Decimal value is based on base 10. In day today life we may use the number 0,1,2,3,4,5,6,7,8,9 the decimal number that uses a dot followed by a digits. Example 1.2

 

Method to find the fraction to decimal value

 

2/5 here 2 is the numerator and 5 is the denominator

When we divide 2 to 5 we will get 0.4 as decimal value

From the above example, 2 is not divisible by 5. So In quotient we will put the dot and zero is append to the numerator. Now the numerator becomes 20. The number 20 is divisible by 4 times in 5. So the answer will be 0.4.

 

In fraction simplify the fraction as the smallest fraction and then find the decimal value

For example 2/4 here 2 is the common factor for the numerator and denominator. The common denominator gets cancelled. For the above fraction ½ is the simplified fraction and the corresponding decimal value is 0.5

Note: In fraction the denominator is zero means the value is infinity.

 

Fraction to decimal table:

 

Fraction

Decimal

1/1

1

½

0.50

1/3

0.33

¼

0.25

1/5

0.20

1/6

0.167

1/7

0.143

1/8

0.125

1/9

0.11

2/1

2.0

2/2

1.0

2/3

0.667

2/4

0.5

2/5

0.4

2/6

0.33

2/7

0.285

2/8

0.25

2/9

0.22

3/1

3.0

3/2

1.5

3/3

1.0

¾

0.75

3/5

0.60

3/6

0.50

3/7

0.43

3/8

0.375

3/9

0.33

4/1

4.0

4/2

2.0

4/3

1.33

4/4

1.0

4/5

0.80

4/6

0.667

4/7

0.57

4/8

0.50

4/9

0.44

5/1

5.0

5/2

2.5

5/3

1.667

5/4

1.25

5/5

1.0

5/6

0.83

5/7

0.71

5/8

0.625

5/9

0.556

From the above tale if the denominator is increase the decimal value decrease.