Question

What is the quotient

Answer 1

-22

Explanation:

We can first convert the mixed numbers into informal fractions to make this simpler. 2 1/5 becomes 11/5 and - 1/10 is already an informal fraction and therefore will stay the same. Now we can use the classic elementary “keep, change, flip” to simplify our work. Our equation is now:

11/5 / - 1/10

Adding keep change flip we have:

11/5 x - 10/1

First we can acknowledge that since there is one negative that we will have a negative answer.
Next we can multiply the numerators:

11 x 10 = 110

Then we can multiply the denominators:

5 x 1 = 5

Putting this together our answer is:

- 110/5

However we should simplify this. The simplified form of the answer is:

-22

So the answer to this equation is -22.

Answer 2

- 22

Explanation:

given

`(2(1)/(5) )/(-(1)/(10) )` [ change mixed number on numerator to an improper fraction ]

=
`((11)/(5) )/(-(1)/(10) )`

to divide the numerator by the denominator

• leave top fraction, change division to multiplication, turn lower fraction ' upside down'

=
`(11)/(5)` × -
`(10)/(1)` ( cancel 5 and 10 by 5 )

=
`(11)/(1)` × -
`(2)/(1)`

= 11 × - 2

= - 22