289
Express
408
in the lowest form write full answer
Answers
Answer:
The below workout with step by step calculation shows how to simplify the fraction 289/408 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 = 289/408
step 2 Find GCD (Greatest Common Factor) for both numerator & denominator.
The GCF for 289 & 408 is 17
step 3 divide the numerator & denominator by GCD 17 and rewrite the fraction
= (289/17) / (408/17)
= 17/24
Thus, 17/24 is the simplified fraction for 289/408 by using the GCD or HCF method.
Prime Factorization Method :
step 1 Address input parameters & values.
Input parameters & values:
The given fraction = 289/408
step 2 Find prime factors for both numerator & denominator and rewrite the fraction in the form of prime factors
Prime factors for 289 = 17 x 17
Prime factors for 408 = 2 x 2 x 2 x 3 x 17
= (17 x 17) / (2 x 2 x 2 x 3 x 17)
step 3 solve & rewrite the fraction
= ( 17)/(2 x 2 x 2 x 3 )
= 17/24
Thus, 17/24 is the simplified fraction for 289/408 by using the prime factorization method.