CLASS-6
EQUIVALENT FRACTION TO DECIMAL

CONVERSION OF EQUIVALENT FRACTION TO DECIMAL 

Sometimes a given fraction can be converted as necessity into an Equivalent Fraction having ‘Denominator’ 10 or some power of 10 as shown below – 

                              17

Example.1)   Convert   ---------  into decimal

                              25


Step.1) You can observe there are two-digit in  the ‘Denominator’ of the given fraction, so there should have two zero after 1 in the Denominator after conversion from Equivalent Fraction to Decimal.

Step.2) In Hundred (100) there are two-digit, divide 100 by Denominator of the given fraction. 100 ÷ 25 = 4, where 4 is the quotient.

Step.3) Now multiply both Denominator and Numerator of the given fraction by obtained quotient.                 

Step.4) So, decimal point can move from left  towards right of the ‘Numerator’ of the Equivalent Fraction. The number of step movement of Decimal point should be according to the number of ‘0’ Zero after 1 in Denominator of the given fraction is provided.

=  0.68  (Ans.)





                             18

Example.2)   Convert  --------  into decimal

                            125

 

Step.1) You can observe there are three-digit in the ‘Denominator’ of the given fraction, so there should have three zero after 1 in the Denominator after conversion to Equivalent Fraction.

Step.2)  In Thousand (1000) there are three Zero digit, divide 1000 by Denominator of the given fraction. 1000 ÷ 125 = 8, here 8 is the quotient.

Step.3) Now multiply both Denominator and Numerator of the given fraction by obtained  quotient.    

Step.4) So, decimal point can move from left towards right of the ‘Numerator’ of the obtained Equivalent Fraction. The number of step movement of Decimal point should be according to the number of ‘0’ Zero after 1 in Denominator of the given fraction is provided.

= 0.144   (Ans.)