Question

How do you simplify `(- 6.6) / 2.4`?

Answer 1

It is `2.75 or 11/4 or 2 3/4`

Explanation:

The way you do this is to start by dividing it.

`-6.6 div 2.4` which in your case gives `2.75`.

Then you can use your calculator and use >DMS key or you can see what the numbers are after the comma.

Because it is `0.75` here you know that you can multiply it by 4 to make a fraction: `0.75 = 3/4`

`2.75 xx 4/4 = 11/4`

Answer 2

`-11/4`

Explanation:

If multiply both the denominator and numerator by 10, that's the same as multiplying by 1:

`-6.6/2.4 * 10/10`

`-66/24`

No we can split each denominator and numerator into their prime factors:

`-(2*3*11)/(2*2*2*3)`

We see that on the top, one of the `2's` and one of the `3's` cancel with the bottom:

`-11/(2*2)`

`= -11/4`

Answer 3

`-11/4`

Explanation:

`"multiply numerator/denominator by 10"`

`rArr-6.6/2.4xx10/10=-66/24`

`"divide numerator/denominator by 6"`

`rArr-cancel(66)^(11)/cancel(24)^4=-11/4larrcolor(blue)"in simplest form"`

`"a fraction is in "color(blue)"simplest form"" when no other"`
`"factor but 1 will divide into the numerator/denominator"`