325 divided. by 100 fraction
Answers
The below workout with step by step calculation shows how to simplify the fraction 325/100 to its lowest term or simplest form. The below are the two methods used to convert the fraction to its lowest terms.
1. GCD or HCF method
2. Prime factorization method
GCD Method :
step 1 Address the formula, input parameters & values.
Input parameters & values:
The given fraction = 325/100
step 2 Find GCD (Greatest Common Factor) for both numerator & denominator.
The GCF for 325 & 100 is 25
step 3 divide the numerator & denominator by GCD 25 and rewrite the fraction
= (325/25) / (100/25)
= 13/4
Thus, 13/4 is the simplified fraction for 325/100 by using the GCD or HCF method.
Prime Factorization Method :
step 1 Address input parameters & values.
Input parameters & values:
The given fraction = 325/100
step 2 Find prime factors for both numerator & denominator and rewrite the fraction in the form of prime factors
Prime factors for 325 = 5 x 5 x 13
Prime factors for 100 = 2 x 2 x 5 x 5
= (5 x 5 x 13) / (2 x 2 x 5 x 5)
step 3 solve & rewrite the fraction
= ( 13)/(2 x 2 )
= 13/4
Thus, 13/4 is the simplified fraction for 325/100 by using the prime factorization method.
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Step-by-step explanation:
Given that :-
325/100
=>(13×25)/(4×25)
Cancelling 25
=>13/4
The simplest or lowest form of 325/100=13/4
A fraction is said to be in a simplest form when the both numerator and the denominator have no common factors except 1