Question

Find the value of Z in $\dfrac{Z}{3} = \dfrac{5}{4}$ ?

Answer 1

Hint: The value of Z in $\dfrac{Z}{3} = \dfrac{5}{4}$ can be found by using the method of transposition. Method of transposition involves doing the exact same mathematical thing on both sides of an equation with the aim of simplification in mind. This method can be used to solve various algebraic equations like the one given in question with ease.

Complete step by step solution:
We would use the method of transposition to find the value of Z in $\dfrac{Z}{3} = \dfrac{5}{4}$. Method of transposition involves doing the exact same thing on both sides of an equation with the aim of bringing like terms together and isolating the variable or the unknown term in order to simplify the equation and finding the value of the required parameter.
Now, In order to find the value of h, we need to isolate h from the rest of the parameters such as the constant terms.
So, $\dfrac{Z}{3} = \dfrac{5}{4}$
So, we shift the $3$ present in the denominator of the left side of the equation to the right side of the equation. We know that the entity being divided at one side of the equation, when transposed, gets multiplied to the other side of the equation. Hence, we get.
$ \Rightarrow $$Z = \dfrac{5}{4} \times 3$
Multiplying the numbers in numerator and simplifying the calculations,
$ \Rightarrow $$Z = \dfrac{{15}}{4}$
We can notice that there is no common factor in the numerator and denominator of the fraction. So, we get the value of $Z$ as $\left( {\dfrac{{15}}{4}} \right)$ in the equation $\dfrac{Z}{3} = \dfrac{5}{4}$ as given in the question.
So, the correct answer is “$Z = \dfrac{{15}}{4}$”.

Note: If we add, subtract, multiply or divide by the same number on both sides of a given algebraic equation, then both sides will remain equal. The given problem deals with algebraic equations and can be easily solved by multiplying both sides of the equation by .