Question

How do you write a word expression for the algebraic expression: $x$ divided by 12?

Answer 1

Hint: We first try to make the given written statement in its mathematical form. We assume the variable $m$ to as the required number. Then we form a relationship. We then solve the given linear equation where $x$ is divided by 12. We apply the binary operation of division. We get the value of the variable $m$ as the solution.

Complete step-by-step solution:
The given statement about the required number $m$ is that $x$ divided by 12.
Let’s assume the quotient number is $m$.
In the division $x$ is being divided which means here $x$ is the dividend or the numerator for its fraction form.
In the division 12 is the number which is being used to divide $x$ which means here 12 is the divisor or the denominator for its fraction form.
We form the mathematical statement as fraction form.
In a fraction $\dfrac{a}{b}$, the terms $a$ and $b$ are the numerator and denominator for the fraction.
Forming according to this we get the mathematical form as $\dfrac{x}{12}$.
Therefore, the algebraic expression is $\dfrac{x}{12}$.

Note: We can also solve the system according to the value of $m$. As the required number is equal to $\dfrac{x}{12}$, we can say that $\dfrac{x}{12}=m$. Now in that case we are taking the extra variable which is unnecessary. But we can mention the variable to make it a single equation form.