Final Answer:
The improper fraction of 216/162 in simplest form is 27/18.
Explanation:
Improper Fraction is defined as the fraction in which the numerator is greater than the denominator. An improper fraction can be converted into a mixed fraction or a proper fraction. To convert an improper fraction in its simplest form, the greatest common divisor (GCD) of numerator and denominator must be found.
In this question, the given improper fraction is 216/162. To convert it into simplest form, the GCD of 216 and 162 must be found. The greatest common divisor of 216 and 162 can be found by using the Euclidean Algorithm. According to the Euclidean Algorithm, the GCD of two numbers can be found by repeatedly dividing the bigger number by the smaller number.
In this question, 216 is greater than 162. Therefore, 216 should be divided by 162.
216/162 = 1 (remainder = 54)
162/54 = 3 (remainder = 0)
Therefore, the GCD of 216 and 162 is 54.
To convert the improper fraction into its simplest form, the numerator and denominator must be divided by 54.
216/162 = 4/3 = 27/18
Therefore, the improper fraction of 216/162 in simplest form is 27/18.