Converting Percent Into Fraction





In this page converting percent into fraction we are going to see examples of conversion from percent to fraction.

60% can be expressed as the ratio of 60 to 100.

Question 1:

Express 45 % as reduced fraction.

Solution:

45 % can be written as 45/100

So 45 % = 45/100

This fraction can be simplified using 5 times table

So we will get 9/20.

Therefore reduced form of 45 % is 9/20.


Question 2:

Express 23 % as reduced fraction.

Solution:

23 % can be written as 23/100

So 23 % = 23/100

This fraction can be simplified using any table

So we will get 23/100

Therefore reduced form of 23 % is 23/100.


Question 3:

Express 85 % as reduced fraction.

Solution:

85 % can be written as 85/100

So 85 % = 85/100

This fraction can be simplified using 5 times table

So we will get 17/20

Therefore reduced form of 85 % is 17/20.


Question 4:

Express 12 % as reduced fraction.

Solution:

12 % can be written as 12/100

So 12 % = 12/100

This fraction can be simplified using 4 times table

So we will get 3/25

Therefore reduced form of 12 % is 3/25.


Question 5:

Express 16 % as reduced fraction.

Solution:

16 % can be written as 16/100

So 16 % = 16/100

This fraction can be simplified using 4 times table

So we will get 4/25

Therefore reduced form of 16 % is 4/25.


Question 6:

Express 17.5 %as reduced fraction.

Solution:

17.5 % can be written as 17.5/100

So 17.5 % = 17.5/100

To remove the decimal point we need to multiply the numerator and denominator by 10.

               = (17.5 x 10)/(100 x 10)

               =  175/1000 

This fraction can be simplified using 25 times table

               = 7/40

Therefore reduced form of 17.5 % is 7/40.

Question 7:

Express 22.5 % as reduced fraction.

Solution:

22.5 % can be written as 22.5/100

To remove the decimal point we need to multiply the numerator and denominator by 10.

               = (22.5 x 10)/(100 x 10)

               =  225/1000  

This fraction can be simplified using 25 times table

               = 9/40

Therefore reduced form of 22.5 % is 9/40.

      Students can try to solve the problems given in converting percent into fraction worksheet given below on their own. You can refer your solutions to the solutions given.

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