6.Reduce the following fraction 21/35.
Answers
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Answer:
GCD Method :
step 1 Address the formula, input parameters & values.
Input parameters & values:
The given fraction = 21/35
step 2 Find GCD (Greatest Common Factor) for both numerator & denominator.
The GCF for 21 & 35 is 7
step 3 divide the numerator & denominator by GCD 7 and rewrite the fraction
= (21/7) / (35/7)
= 3/5
Thus, 3/5 is the simplified fraction for 21/35 by using the GCD or HCF method.
Prime Factorization Method :
step 1 Address input parameters & values.
Input parameters & values:
The given fraction = 21/35
step 2 Find prime factors for both numerator & denominator and rewrite the fraction in the form of prime factors
Prime factors for 21 = 3 x 7
Prime factors for 35 = 5 x 7
= (3 x 7) / (5 x 7)
step 3 solve & rewrite the fraction
= (3 )/(5 )
= 3/5
Thus, 3/5 is the simplified fraction for 21/35 by using the prime factorization method