reduce each of the following fractions to the lowest terms 161 and 207
Answers
Answer:
GCD Method :
(step 1 ) Address the formula, input parameters & values.
Input parameters & values:
The given fraction = 161/207
(step 2) Find GCD (Greatest Common Factor) for both numerator & denominator.
The GCF for 161 & 207 is 23
(step 3) divide the numerator & denominator by GCD 23 and rewrite the fraction
= (161/23) / (207/23)
= 7/9
Thus, 7/9 is the simplified fraction for 161/207 by using the GCD or HCF method.
Prime Factorization Method :
step 1 Address input parameters & values.
Input parameters & values:
The given fraction = 161/207
step 2 Find prime factors for both numerator & denominator and rewrite the fraction in the form of prime factors
Prime factors for 161 = 7 x 23
Prime factors for 207 = 3 x 3 x 23
= (7 x 23) / (3 x 3 x 23)
step 3 solve & rewrite the fraction
= (7 )/(3 x 3 )
= 7/9
Thus, 7/9 is the simplified fraction for 161/207 by using the prime factorization method.