Question

Rewrite the fraction as a decimal. -82/5

Answer 1

Rewrite the fraction

- 82/5

as a decimal.

First, express it as a mixed number.

5 goes 16 times into 82, because 16 * 5 = 80, and you have a remainder of 2. So

- 82/5

= - [ 80/5 + 2/5 ]

= - [ 16 2/5 ]

= - [ 16 + 2/5 ]

Now, multiply both numerator and denominator of that proper fraction by 20, so you get a new fraction whose denominator is a power of ten (100 in this case):

= - [ 16 + (2 * 20)/(5 * 20) ]

= - [ 16 + 40/100 ]

But.40/100 = 0.4. So it is

= - [ 16 + 0.4 ]

= - 16.4 <----- this is the answer.

I hope this helps. =)

Answer 2

You can just multiply the top and the bottom by 2, to get the bottom to be 10. So you get -164/10. From here you can see that 10 goes into 164,16.4 times. 

Therefore, -82/5 = -16.4