Question

How do you rewrite the expression\[\dfrac{5}{6}=\dfrac{?}{18}\].

Answer 1

Hint:In the given question let the missing place be ‘x’ and now we have to solve the given expression for the value of ‘x’. So, to solve this question we need to get ‘x’ on one side of the “equals” sign, and all the other numbers on the other side. To solve this equation for a given variable ‘x’, we have to undo the mathematical operations such as addition, subtraction, multiplication and division that have been done to the variables.

Complete step by step answer:
We have the given equation;
\[\dfrac{5}{6}=\dfrac{?}{18}\]
Let the missing place be ‘x’.Thus,
\[\dfrac{5}{6}=\dfrac{x}{18}\]
Multiply both the sides of the equation by 18, we get
\[\dfrac{5}{6}\times 18=x\]
Simplify the numbers in the left hand side by converting into simplest form, we get
\[\dfrac{5}{1}\times 3=x\]
Simplifying the above expression, we get
\[5\times 3=x\]
\[\therefore x=15\]

Thus, the missing place in the expression \[\dfrac{5}{6}=\dfrac{?}{18}\] is equal to 15.

Additional information:
In the given question, no mathematical formula is being used; only the mathematical operations such as addition, subtraction, multiplication and division is used.
-Use addition or subtraction properties of equality to gather variable terms on one side of the equation and constant on the other side of the equation.
-Use the multiplication or division properties of equality to form the coefficient of the variable term equivalent to 1.

Note:The important thing to recollect about any equation is that the ‘equals’ sign represents a balance. What the sign says is that what’s on the left-hand side is strictly an equal to what’s on the right-hand side. It is the type of question where only mathematical operations such as addition, subtraction, multiplication and division is used.