Question

How do you solve \[12z = 108?\]

Answer 1

Hint: Here we will simplify the given mathematical expression making the required term “z” the subject and move other terms on the opposite side.

Complete step by step solution:
Take the given mathematical expression: \[12z = 108\]
Term multiplicative on one side if moved to the opposite side then it goes to the denominator.
$ \Rightarrow z = \dfrac{{108}}{{12}}$
Find factors of the term on the numerator.
$ \Rightarrow z = \dfrac{{12 \times 9}}{{12}}$
Common factors from the numerator and the denominator cancel each other. Therefore, remove from the numerator and the denominator.
$ \Rightarrow z = 9$
This is the required solution.

Additional Information:
Prime factorization is the process of finding which prime numbers can be multiplied together to make the original number, where prime numbers are the numbers greater than $1$ and which are not the product of any two smaller natural numbers. For Example: $2,{\text{ 3, 5, 7,}}......$ $2$ is the prime number as it can have only $1$ factor.

Note: Be good in multiples and division. Since it is the most important fundamental to solve and simplify any mathematical expression. Remember multiples till twenty numbers. Always try to convert the given number in the prime numbers and then find the common factors in the numerator and the denominator and then remove them.