Question

How do you evaluate `9- 4\frac { 5} { 9}`?

Answer 1

`4 4/9`

Explanation:

Solve:
`9 - 4 5/9`

`9` could also be `8 9/9` to adjust with the denominator of the mixed fraction given in the situation.

`8 9/9 - 4 5/9`

Subtract the whole number with the whole number and the numerator with the other numerator, and denomiator stays the same.

`8 9/9 - 4 5/9 = 4 4/9`

Answer 2

4 4/9

Explanation:

9-4 5/9

Convert to improper fractions:
9/1 - 41/9

Find a common denominator:
81/9 - 41/9

Combine like terms:
40/9

Convert to mixed number:
4 4/9

Answer 3

`9-4 5/9=color(red)(4 4/9)`

Explanation:

Method 1
Convert both terms into (improper) fractions with the same denominator; in this case the obvious common denominator to use will be `9`.

`9` written as an improper fraction with a denominator of `9`
`color(white)("X")=81/9`

`4 5/9` written as an improper fraction with a denominator of `9`
`color(white)("X")=(4xx9+5)/9=41/9`

Therefore
`9- 4 5/9`
`color(white)("XXX")=81/9-41/9`

`color(white)("XXX")=(81-41)/9`

`color(white)("XXX")=40/9`

or as a proper, mixed fraction:
`color(white)("XXX")=4 4/9`

Altenate Method
`color(blue)9-color(green)(4 5/9)`

`color(white)("XXX")=(color(blue)(8+1))-(color(green)(4 + 5/9))`

`color(white)("XXX")=underbrace(color(blue)8-color(green)4)+underbrace(color(blue)1-color(green)(5/9))`

`color(white)("XXX")=color(white)("xx")4 color(white)("xx")+ color(white)("x")4/9`

`color(white)("XXX")=4 4/9`