LEARN MATH STEP BY STEP THROUGH VERY EASY PROCESS

REDUCTION OF FRACTION BY PRIME FACTORIZATION METHOD

__REDUCTION OF FRACTION IN SIMPLEST FORM BY PRIME FACTORIZATION METHOD__

**Q.1) Find out the simplest form of 125/180 by factorization method **

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__

**Ans.) Now we find out
the prime factor of the given fraction.**

__Step.1)__** **** ****Find
the product of primes each of the ‘Numerator’ & ‘Denominator’ of the
given fraction.**

** 125
= 5 x 5 x 5 x 1, **

**and ****180 = 5 x 3 x 3 x 4 x
1**

__Step.2)__** Cancel the factors that are common to both of it’s ‘Numerator’ and ‘Denominator’. Now simplify to get lowest form.**

**( Cancelling common factors in Numerator and Denominator of the given fraction.)**

**So, 25/36 is the simplest form of given fraction.**

**Q.2) Find out the simplest form of 120/250 by factorization method**

**Ans.) Now we find out the prime factor of the given fraction.**

__Step.1)__**
Find the product of primes each of the ‘Numerator’ & ‘Denominator’ of
the given fraction.**

**120 = 5 x 4 x 3 x 2 x
1, and **

**250 = 5 x 5 x 5 x 2 x 1**** **

__Step.2)__** Cancel the factors that are common to both of it’s ‘Numerator’ and ‘Denominator’. Now simplify to get the lowest form. ( Cancelling common factors in Numerator and Denominator of the given fraction.)**

**So, 12/25 is the simplest form of a given fraction.**