Question

How do you solve `\frac { - 2} { 3} \div 1\frac { 4} { 5}`?

Answer 1

`-10/27`

Explanation:

First, we write them as fractions.
`-2/3-:(4+color(red)(5)*1)/5=-2/3-:9/5`
If we divide fractions, we swap the denominator and the counter.
`-2/3-:9/5=-2/3*5/9=-(2*5)/(3*9)=-10/27`

Answer 2

See a solution process below:

Explanation:

First, convert the mixed number to an improper fraction:

`1 4/5 = 1 + 4/5 = (5/5 xx 1) + 4/5 = 5/5 + 4/5 = (5 + 4)/5 = 9/5`

Next rewrite the expression as:

`(-2)/3 -: 9/5 => ((-2)/3)/(9/5)`

We can now use this rule for dividing fractions to evaluate the expression:

`(color(red)(a)/color(blue)(b))/(color(green)(c)/color(purple)(d)) = (color(red)(a) xx color(purple)(d))/(color(blue)(b) xx color(green)(c))`

`(color(red)((-2))/color(blue)(3))/(color(green)(9)/color(purple)(5)) => (color(red)((-2)) xx color(purple)(5))/(color(blue)(3) xx color(green)(9)) => (-10)/27 => -10/27`

Answer 3

Ok , so it is simple fraction division, but the mixed number must be changed to improper fraction.

Explanation:

You first change the mixed fraction to an improper fraction, which is `9/5`

Then reciprocate(flip over) The `9/5` to make it `5/9`.

The final equation before the main calculation must look like this:

`(-2) /3 * 5/9`
multiply. The -2 multiplying the 5 and the 3 multiplying the 9.

The final answer is:

= `-10/27`