Question

Reduce to the simplest form :

(ii) 36

72​

Answer 1

Step-by-step explanation:

36

72

= ½

therefore after simplifying 36/72 we get ½

Answer 2

Answer:

GCD Method :

step 1 Address the formula, input parameters & values.

Input parameters & values:

The given fraction = 36/72

step 2 Find GCD (Greatest Common Factor) for both numerator & denominator.

The GCF for 36 & 72 is 36

step 3 divide the numerator & denominator by GCD 36 and rewrite the fraction

= (36/36) / (72/36)

= 1/2

Thus, 1/2 is the simplified fraction for 36/72 by using the GCD or HCF method.

Prime Factorization Method :

step 1 Address input parameters & values.

Input parameters & values:

The given fraction = 36/72

step 2 Find prime factors for both numerator & denominator and rewrite the fraction in the form of prime factors

Prime factors for 36 = 2 x 2 x 3 x 3

Prime factors for 72 = 2 x 2 x 2 x 3 x 3

= (2 x 2 x 3 x 3) / (2 x 2 x 2 x 3 x 3)

step 3 solve & rewrite the fraction

= (1)/( 2 )

= 1/2

Thus, 1/2 is the simplified fraction for 36/72 by using the prime factorization method.