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

2 Answers
Feb 17, 2018

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%.

Feb 17, 2018

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%