LEARN MATH STEP BY STEP THROUGH VERY EASY PROCESS

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.) **