find the hcf by division method and reduce to the simplest form 56/32
Answers 1
Step-by-step explanation:
How to Simplify Fraction 56/32 to its Lowest Term?
The below workout with step by step calculation shows how to simplify the fraction 56/32 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 1Address the formula and input values.
Input values:
The given fraction = 56/32
step 2Find GCD (Greatest Common Factor) for both numerator and denominator.
The GCF for 56 and 32 is 8
step 3divide the numerator and denominator by GCD 8 and rewrite the fraction
= (56/8) / (32/8)
= 7/4
7/4 is the simplified fraction for 56/32 by using the GCD or HCF method.
Prime Factorization Method :
step 1Address input values.
Input values:
The given fraction = 56/32
step 2Find prime factors for both numerator and denominator and rewrite the fraction in the form of prime factors
Prime factors for 56 = 2 x 2 x 2 x 7
Prime factors for 32 = 2 x 2 x 2 x 2 x 2
= (2 x 2 x 2 x 7) / (2 x 2 x 2 x 2 x 2)
step 3solve and rewrite the fraction
= ( 7)/( 2 x 2)
= 7/4
7/4 is a simplified fraction for 56/32 by using the prime factorization method
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Author:
murphyzdv3
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