How do you simplify the fraction 1014?
Answers
step calculation shows how to simplify the fraction 1014/10000 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 = 1014/10000
step 2 Find GCD (Greatest Common Factor) for both numerator & denominator.
The GCF for 1014 & 10000 is 2
step 3 divide the numerator & denominator by GCD 2 and rewrite the fraction
= (1014/2) / (10000/2)
= 507/5000
Thus, 507/5000 is the simplified fraction for 1014/10000 by using the GCD or HCF method.
Prime Factorization Method :
step 1 Address input parameters & values.
Input parameters & values:
The given fraction = 1014/10000
step 2 Find prime factors for both numerator & denominator and rewrite the fraction in the form of prime factors
Prime factors for 1014 = 2 x 3 x 13 x 13
Prime factors for 10000 = 2 x 2 x 2 x 2 x 5 x 5 x 5 x 5
= (2 x 3 x 13 x 13) / (2 x 2 x 2 x 2 x 5 x 5 x 5 x 5)
step 3 solve & rewrite the fraction
= ( 3 x 13 x 13)/( 2 x 2 x 2 x 5 x 5 x 5 x 5)
= 507/5000
Thus, 507/5000 is the simplified fraction for 1014/10000 by using the prime factorization method.