Question

The ratio 92:115 in its simplest form is -
(1) 23:25
(2) 18:23
(3) 3:5
(4) 4:5​

Answer 1

Answer:

answer is d option that is 4:5

Answer 2

Answer:

4 : 5 is the answer .

Step-by-step explanation:

GCD Method :

step 1 → Address the formula, input parameters & values.

Address the formula, input parameters & values.Input parameters & values:

Address the formula, input parameters & values.Input parameters & values:The given fraction = 92/115

Address the formula, input parameters & values.Input parameters & values:The given fraction = 92/115step 2 → Find GCD (Greatest Common Factor) for both numerator & denominator.

Find GCD (Greatest Common Factor) for both numerator & denominator.The GCF for 92 & 115 is 23

Find GCD (Greatest Common Factor) for both numerator & denominator.The GCF for 92 & 115 is 23step 3 → divide the numerator & denominator by GCD 23 and rewrite the fraction

divide the numerator & denominator by GCD 23 and rewrite the fraction= (92/23) / (115/23)

divide the numerator & denominator by GCD 23 and rewrite the fraction= (92/23) / (115/23)= 4/5

divide the numerator & denominator by GCD 23 and rewrite the fraction= (92/23) / (115/23)= 4/5Thus, 4/5 is the simplified fraction for 92/115 by using the GCD or HCF method.

Prime Factorization Method :

step 1 → Address input parameters & values.

Address input parameters & values.Input parameters & values:

Address input parameters & values.Input parameters & values:The given fraction = 92/115

Address input parameters & values.Input parameters & values:The given fraction = 92/115step 2 → Find prime factors for both numerator & denominator and rewrite the fraction in the form of prime factors

Find prime factors for both numerator & denominator and rewrite the fraction in the form of prime factorsPrime factors for 92 = 2 x 2 x 23

Find prime factors for both numerator & denominator and rewrite the fraction in the form of prime factorsPrime factors for 92 = 2 x 2 x 23Prime factors for 115 = 5 x 23

Find prime factors for both numerator & denominator and rewrite the fraction in the form of prime factorsPrime factors for 92 = 2 x 2 x 23Prime factors for 115 = 5 x 23= (2 x 2 x 23) / (5 x 23)

Find prime factors for both numerator & denominator and rewrite the fraction in the form of prime factorsPrime factors for 92 = 2 x 2 x 23Prime factors for 115 = 5 x 23= (2 x 2 x 23) / (5 x 23)step 3 → solve & rewrite the fraction

solve & rewrite the fraction= (2 x 2 )/(5 )

solve & rewrite the fraction= (2 x 2 )/(5 )= 4/5

solve & rewrite the fraction= (2 x 2 )/(5 )= 4/5Thus, 4/5 is the simplified fraction for 92/115 by using the prime factorization method.

Here is your answer mate !

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