Question

How do you write ‘the quotient of p and 4 and a number’?

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 the relationship. We then solve the given linear equation where we are finding the quotient of p and 4 and a number. We apply the binary operation of division. We also need to find the multiplied form of 4 and a number. We get the value of the variable $m$ as the solution.

Complete step by step answer:
The given statement about the required number $m$ is that it is equal to the quotient of p and 4 and a number. Let’s assume the solution as $m$.
We also need to find an arbitrary number which is $x$.
We need to take the multiplication of 4 and that number $x$.
The denominator will be this multiplication. We follow the multiplication process for signs and find the right sign for the multiplication.
So, the denominator is $4\times x=4x$.
Now we find the division where we need the quotient of p and $4x$ which means here p is the dividend or the numerator for its fraction form and $4x$ 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 $\dfrac{p}{4x}$.

Note: we can also solve the system according to the value of $m$. As the required number is equal to $\dfrac{p}{4x}$, we can say that $\dfrac{p}{4x}=m$. 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.