Question

How do you convert -1 3/4 into a decimal and percent?

Answer 1

The decimal is `-1.75`.
The percentage is `-175%`

Explanation:

To turn this into a decimal, divide `3` by `4`.

`3/4=0.75`

You can also do this by turning the denominator of the fraction to 100:

`3/4*25/25=75/100=0.75`

Since it is `-1 3/4`, the decimal is `-1.75`.

To turn this into a percent, we know `1` is `100%`, and to turn `0.75` into a percent, multiply by 100 to get the percentage:

`0.75*100=75 ->75%`

The percentage is `-175%`.

Answer 2

As a decimal, is it `-1.75`, and as a percent, it is `-175%`.

Explanation:

To convert `-1 3/4` to a decimal, you have to use long division to divide `3` into `4`:

`color(white)(m)4|stackrel(0.75)bar3.00`
`color(white)(..)-0`
`color(white)(.......)bar3.0`
`color(white)(...)-2.8`
`color(white)(.......)bar0.20`
`color(white)(...)-0.20`
`color(white)(.......)bar0.00`

So `3/4` as a decimal is `0.75`. Now we can rewrite the mixed fraction:

`color(white)=-1 3/4`

`=-1 * (1+3/4)`

`= -1*(1+0.75)`

`=-1*1.75`

`=-1.75`

Now, to get the number as a percent, simply multiply by `100%`:

`-1.75*100%=-175%`