Question

How would I find the quotient?
Simplify if possible,
q/7 divided by q/26

Answer 1

Any ideas?

Answer 2

Maybe subtract 7 from 26, I'm not sure

Answer 3

Maybe multiply the two

Answer 4

Division is a special form of multiplication.

Answer 5

In the same way that subtraction is a special form of addition.

Answer 6

Yeah, it'd make more sense to multiply than to subtract, but is that the right thing to do?
Multiply 7 and 26?

Answer 7

Regular multiplication would look like this:

q/7 multiplied by q/26 = $$\frac{q}{7}*\frac{q}{26} = \frac{q^2}{7*26}$$

Answer 8

q^2
----- ?
182

Answer 9

Correct :)

Answer 10

Thank you!

Answer 11

What we want to do here is q/7 divided by q/26 which is defined as followed:

Answer 12

Definition of division:
To divide by a nonzero number multiply by its reciprocal.

Answer 13

Do you know what the reciprocal of $$\frac{q}{26}$$is?

Answer 14

26?

Answer 15

Interchange the numerator and the denominator.

Answer 16

...oh.
26/q then lol

Answer 17

Correct :)

Answer 18

Now, take that number and multiply it by the other.

Answer 19

26q?

Answer 20

$$\frac{q}{7}\div\frac{q}{26}$$ Definition of division:
To divide by a nonzero number multiply by its reciprocal. $$\frac{q}{7}\times\frac{26}{q}$$

Answer 21

Oh my.

26q
----
7q
?

Answer 22

Correct, now you can simplify by "cancelling" the q's.

Answer 23

26
__
7
:D

Answer 24

So what was the point in multiplying? lol

Answer 25

By definition division is multiplying by the reciprocal.

I wanted to show you what regular multiplication looked like first,

before showing what multiplication by the reciprocal looked like.