Question

How do you divide `\frac { \frac { 3} { 4} + \frac { 1} { 5} } { \frac { 4} { 9} - \frac { 1} { 3} }`?

Answer 1

`8 11/20`

Explanation:

`3/4+1/5`
`color(white)("XXX")=15/20+4/20`

`color(white)("XXX")=19/20`

`4/9-1/3`
`color(white)("XXX")=4/9-3/9`

`color(white)("XXX")=1/9`

So `(3/4+1/5)/(4/9-1/3)`

`color(white)("XXX")=(19/20)/(1/9)`

`color(white)("XXX")=19/20xx9/1`

`color(white)("XXX")=171/20`

`color(white)("XXX")=8 11/20`