Question

N = 2 1/4 = 6 8/9. What is n?

Answer 1

Let's verify if
`\(N\)`and
`\(n\)`are equal when
`\(N = 2 (1)/(4)\)` and
`\(n = 6 (8)/(9)\).`

`\(N = 2 (1)/(4) = (9)/(4)\)`

`\(n = 6 (8)/(9) = (62)/(9)\)`

Upon comparing the values:

`\(N = (9)/(4)\)` and
`\(n = (62)/(9)\)`

To check if
`\(N\)` and
`\(n\)` are equal:

`\((9)/(4) \\eq (62)/(9)\)`

Therefore, the equality
`\(N = n\)` does not hold true with the given values. Let's determine the correct value of
`\(n\)` when
`\(N = 2 (1)/(4)\)`:

To find the equivalent fraction of
`\(2 (1)/(4)\)` with a denominator of 9 (as in
`\(n = 6 (8)/(9)\)`), we can express
`\(2 (1)/(4)\)` as an improper fraction:

`\(2 (1)/(4) = (9)/(4)\)`

To make the denominator 9, multiply both the numerator and denominator by 2:

`\((9)/(4) * (2)/(2)`=
`(18)/(8)\)`

Now, let's find the equivalent fraction with a denominator of 9:

`\((18)/(8)` =
`(18 * 9)/(8 * 9)`=
`(162)/(72)\)`

Therefore, when
`\(N = 2 (1)/(4)\)`, the correct equivalent value of \(n\) with the same relation is
`\(n = 6 (18)/(72)\)`.

complete the question

"Two numbers,
`\(N\)`and
`\(n\)`, are said to be equal. If
`\(N = 2 (1)/(4)\)` and
`\(n = 6 (8)/(9)\),` verify whether the equality holds true. If not, determine the correct value of
`\(n\)` when
`\(N = 2 (1)/(4)\)` ."