Question

How do you write a math expression for this phrase: the sum of the quotient of \[p\] and \[14\], and the quotient of \[q\] and \[3\]?

Answer 1

Hint: We have to write the given phrase in a mathematical form. It first says that the expression is a sum of two terms. And the terms are quotients. A quotient is usually a fraction consisting of a numerator and a denominator. Quotient of \[p\] and \[14\] would mean \[\dfrac{p}{14}\] and likewise for the quotient of \[q\] and \[3\]. And it is their sum that we require.

Complete step by step solution:
According to the given question, we are to express the phrase given in the question as a mathematical equation.
The phrase that we have is “ the sum of the quotient of \[p\] and \[14\], and the quotient of \[q\] and \[3\]”
Here, we can see that we have two terms namely quotient of \[p\] and \[14\], quotient of \[q\] and \[3\].
And the expression has the sum of these two terms.
We saw the word ‘quotient’. Quotient refers to a fraction and as we know a fraction comprises a numerator and a denominator.
For example – quotient of a and b would mean \[\dfrac{a}{b}\].
So, from the question we have,
Quotient of \[p\] and \[14\], this means, \[\dfrac{p}{14}\]
And quotient of \[q\] and \[3\] means \[\dfrac{q}{3}\]
The question asks for the sum of these terms and we have,
\[\dfrac{p}{14}+\dfrac{q}{3}\]
Therefore, the math expression of the given phrase is \[\dfrac{p}{14}+\dfrac{q}{3}\].

Note: While writing the math equivalent of a phrase make sure that you read the phrase twice or thrice until you get the whole picture. Taking the phrase bit by bit will only result in mistakes. First get familiar with the phrase and then begin with mathematical conversion.