Question

Q3. What is the quotient? −218÷114 Enter your answer as a mixed number, in simplified form, in the box.

Edit: This is very hard, so please help with these as well...?

Q4. What is the quotient?

158÷(−135)

Enter your answer as a mixed number, in simplified form, in the box.

Q5. Divide.

−834÷216

Options:
A. −4/18
B. −4/126
C. −3/2526
D. −3/18


(Please answer in detail)
Thank you! ^-^

Answer 1

3. - 1 52/57

4. -1 23/135

5. -3 31/36

Explanation:

3. Note the answer will be a negative number because one of the numbers is negative and the other is positive. When we do the division use positive numbers . Then we can just plug in the negative.

It looks like 114 will only divide once into 218 because 2*114 = 228 .

So the whole number part is 1. Now subtract 114 from 218 we get 104.

So we have the mixed number 1 104/114. These numbers in the fraction are positive so we divide by 2 to simplify.

This gives us 1 52/57

Finally plug in the negative and we have -1 52/57 (answer)

Q4. In a similar fashion to the above 158 / 135 = 1 and the fraction part is (158-135) / 135 = 23/135,so the answer is -1 23/135 ( note its negative because of the -135).

Q5.

-834 / 216

216 divides 3 times into 834 and the remainder is 834 - 3 * 216

= 834 - 648 = 186

so the mixed number is -3 186/216

Now simplify 186/216:-

divide each number by 2 , we get 93/108

3 will divide into 93 and 108 giving 31/36

Now plug in the negative.

So the answer is -3 31/36

Answer 2

3.
`-1\tfrac{52}{57}`

4.
`-1\tfrac{23}{135}`

5.
`-3 \tfrac{31}{36}`

Explanation:

3.

To find : the quotient when we divide -218 by 114

Solution : As in −218÷114 one of the numbers is negative and the other is positive, quotient must be negative .

`(-218)/(114)=(-109)/(57)=-1\tfrac{52}{57}` ( mxed fraction )

( see fig (i) )

4.

To find : the quotient when we divide 158 by 135

Solution: As in 158÷(−135) one of the numbers is negative and the other is positive, quotient must be negative .

`(158)/(-135)=-1\tfrac{23}{135}` ( mixed fraction )

( see fig (ii) )

5.

To find : −834÷216

Solution :

As in −834÷216 one of the numbers is negative and the other is positive, quotient must be negative .

`(-834)/(216)=(-417)/(108)=(-139)/(36)=-3 \tfrac{31}{36}`

( see fig iii )