Answer:
lowest term:13/14
13/14
Step-by-step explanation:
GCD Method :
step 1: Address the formula, input parameters & values.
Input parameters & values:
The given fraction = 39/42
step 2: Find GCD (Greatest Common Factor) for both numerator & denominator.
The GCF for 39 & 42 is 3
step 3: divide the numerator & denominator by GCD 3 and rewrite the fraction
= (39/3) / (42/3)
= 13/14
Thus, 13/14 is the simplified fraction for 39/42 by using the GCD or HCF method.
Prime Factorization Method :
step 1: Address input parameters & values.
step 2: Find prime factors for both numerator & denominator and rewrite the fraction in the form of prime factors
Prime factors for 39 = 3 x 13
Prime factors for 42 = 2 x 3 x 7
= (3 x 13) / (2 x 3 x 7)
step 3: solve & rewrite the fraction
= ( 13)/(2 x 7)
Thus, 13/14 is the simplified fraction for 39/42 by using the prime factorization method.
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Answers & Comments
Answer:
lowest term:13/14
Answer:
13/14
Step-by-step explanation:
GCD Method :
step 1: Address the formula, input parameters & values.
Input parameters & values:
The given fraction = 39/42
step 2: Find GCD (Greatest Common Factor) for both numerator & denominator.
The GCF for 39 & 42 is 3
step 3: divide the numerator & denominator by GCD 3 and rewrite the fraction
= (39/3) / (42/3)
= 13/14
Thus, 13/14 is the simplified fraction for 39/42 by using the GCD or HCF method.
Prime Factorization Method :
step 1: Address input parameters & values.
Input parameters & values:
The given fraction = 39/42
step 2: Find prime factors for both numerator & denominator and rewrite the fraction in the form of prime factors
Prime factors for 39 = 3 x 13
Prime factors for 42 = 2 x 3 x 7
= (3 x 13) / (2 x 3 x 7)
step 3: solve & rewrite the fraction
= ( 13)/(2 x 7)
= 13/14
Thus, 13/14 is the simplified fraction for 39/42 by using the prime factorization method.