Question

How do you write the quotient of m and 9 as a mathematical expression?

Answer 1

Hint: Here in this question to write a quotient mathematical expression means you have to represent or write m and 9 as division form or fraction form, here in this you write m as a dividend and 9 as a divisor i.e., \[m \div 9\] or write m as a numerator and 9 as a denominator in the fraction i.e., \[\dfrac{m}{9}\] .

Complete step-by-step answer:
We have some sentences, by reading the sentences we have to use arithmetic operations.
 If the sentence involves a plus b, the sum of a and b, a increased by b, b more than a, the total of a and b, b added to a then we use the addition arithmetic operation.
If the sentences involve a minus b, the difference of a and b, b subtracted from a, a decreased by b, b less than a then we use the subtraction arithmetic operation.
If the sentence involves a times b, the product of a and b then we use the multiplication arithmetic operation.
If the sentence involves a by b, the divides b then we use the division arithmetic operation.
When you divide one number by another, the result is called the quotient. Otherwise, when you divide one rational expression by another, the result is called the quotient.
If a whole number N is the result of a division between two numbers a and b (usually a division is written as \[a \div b\] , or \[\dfrac{a}{b}\] ), then N is called the quotient of a and b.
Now you have to write the quotient mathematical expression of m and 9, then
Represent or write m as a dividend and 9 as a divisor as a division form
i.e., \[ \Rightarrow \,\,\,m \div 9\]
otherwise write m as a numerator and 9 as a denominator as the fraction form.
i.e., \[ \Rightarrow \,\,\,\dfrac{m}{9}\]
So, the correct answer is “$\dfrac{m}{9}$”.

Note: The algebraic expression or equation can be converted or transformed into a phrase form. The phrase form is converted or transformed into the numeral form. While converting or transforming the phrase form into numeral form we use variable, numbers and the arithmetic operations. Depending on the sentences we use arithmetic operations.