Question

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

Answer 1

"The expression will always equal m" is true about the quotient of
`(m)/(n)` ÷
`(1)/(n)`

Explanation:

Let us solve the question

∵ The expression is
`(m)/(n)` ÷
`(1)/(n)`

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

and reciprocal the fraction after the division sign

∵ The reciprocal of
`(1)/(n)` is
`(n)/(1)`

∴
`(m)/(n)` ÷
`(1)/(n)` =
`(m)/(n)` ×
`(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

∴
`(m)/(n)` ×
`(n)/(1)` =
`(m)/(1)`

∴
`(m)/(n)` ×
`(n)/(1)` = m

∴
`(m)/(n)` ÷
`(1)/(n)` = m

∴ The quotient is m

∴ The expression will always equal m