Question

The values of m and n are whole numbers greater than 1. Which is true about the quotient

Answer 1

Answer:

"The expression will always equal m" is true about the quotient of $\frac{m}{n}$ ÷ $\frac{1}{n}$

Step-by-step explanation:

Let us solve the question

∵ The expression is $\frac{m}{n}$ ÷ $\frac{1}{n}$

→ In the division of fractions, we change the division to multiplication

   and reciprocal the fraction after the division sign

∵ The reciprocal of  $\frac{1}{n}$ is $\frac{n}{1}$

∴  $\frac{m}{n}$ ÷ $\frac{1}{n}$ =  $\frac{m}{n}$ × $\frac{n}{1}$

→ In the multiplication of fractions, we can simplify the terms in

    the numerators by the terms in the denominators

∵ There is n in the numerator and denominator

∴ Cancel n up and down

∴  $\frac{m}{n}$ × $\frac{n}{1}$ = $\frac{m}{1}$

∴  $\frac{m}{n}$ × $\frac{n}{1}$ = m

∴  $\frac{m}{n}$ ÷ $\frac{1}{n}$ = m

∴ The quotient is m

∴ The expression will always equal m