Reduce the following fractions to the lowest terms by dividing with their HCF 54 by 72
Answers
Answer:
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Step-by-step explanation:
The given fraction = 54/72
step 2 Find GCD (Greatest Common Factor) for both numerator & denominator.
The GCF for 54 & 72 is 18
step 3 divide the numerator & denominator by GCD 18 and rewrite the fraction
= (54/18) / (72/18)
= 3/4
Thus, 3/4 is the simplified fraction for 54/72 by using the GCD or HCF method.
Prime Factorization Method :
step 1 Address input parameters & values.
Input parameters & values:
The given fraction = 54/72
step 2 Find prime factors for both numerator & denominator and rewrite the fraction in the form of prime factors
Prime factors for 54 = 2 x 3 x 3 x 3
Prime factors for 72 = 2 x 2 x 2 x 3 x 3
= (2 x 3 x 3 x 3) / (2 x 2 x 2 x 3 x 3)
step 3 solve & rewrite the fraction
= ( 3)/( 2 x 2 )
= 3/4
Thus, 3/4 is the simplified fraction for 54/72 by using the prime factorization method.
Answer: 54/72
27/36
9/12
3/4 is the answer of the lowest term.