Question

CAN u help me plz What is the quotient?
−5 1/4 ÷2 3/4
Enter your answer as a mixed number, in simplified form, in the box.

Answer 1

@Jerry45 help me

Answer 2

@zoekeya here

Answer 3

I will still think. Help? @brucebaner

Answer 4

is it 1 10/11

Answer 5

am I right or what

Answer 6

First change - 5 ¼ into an improper fraction
do you know how to do that ?

Answer 7

yes but it's negative
\[ - \frac{21}{4} \]
next change 2 ¾
into an improper fraction
what do you get ?

Answer 8

11/4

Answer 9

yes. that means the problem is the same as
\[ -\frac{21}{4} \div \frac{11}{4} \]

Now we use the idea that dividing is the same as "flipping" and then multiplying
There is a way to show why this works, but for now, let's just use that idea

In other words, the problem becomes
\[ -\frac{21}{4} \times \frac{4}{11} \]

Answer 10

-21/4 x 4/11= 21/11

Answer 11

when doing
\[ -\frac{21}{4} \times \frac{4}{11} \]

we would multiply top times top
and bottom times bottom

But, it's always easier to first divide (if you can do it evenly)
in this problem we have a 4 "up top" and 4 "in the bottom"
4 divided by 4 is 1, and we can ignore multiply by 1

in other words, divide the top 4 by 4 (to get 1) and divide the bottom 4 by 4 to get 1
\[ -\frac{21}{\cancel{4}} \times \frac{\cancel{4}}{11} \]

11 does not divide 11 into 21, so we are done simplifying
multiply top times top and bottom times bottom

we get
\[ - \frac{21}{11}\]

(remember it's negative because we are doing a minus times a plus)

Answer 12

we are not yet finished.

they want a mixed number.
can you change
-21/11 into a mixed number ?

Answer 13

I'm doing it alright

Answer 14

and remember the answer will be negative

Answer 15

-1 10/11

Answer 16

good job

Answer 17

so that's the answer