Whats negative 4 over 5 divided by negative 2 over 3

Question

4/5 divided by 2/3

Answer 1

(-4/5)/(-2/3)  negatives in numerator and denominator cancel to positive,

= (4/5)/(2/3)  division is the same as multiply by inverse

= (4/5)*(3/2) = 12/10 = 6/5 = 1 1/5

Answer 2

The key to solving division problems dealing with fractions is to remember to flip the denominator and then multiply.

 

Example:

 

a / b   ( this is the numerator )                

-----  

c / d  ( this is the denominator )  

 

To solve, flip the denominator and multiply.

 

a / b  *  d / c

 

For your problem:

 

-4 / 5

------

-2 / 3

 

becomes:

 

-4 / 5  * 3 / -2

 

multiply the numerators (the -4 and 3), multiply the denominators (the 5 and -2), and reduce if possible.

 

This becomes:

 

-4  * 3

--------

5  * -2

 

Giving:

 

-12

----

-10

 

A minus times a minus or a minus divided by a minus results in a positive. Our answer becomes:

 

10

---

12

 

This can be reduced to:

 

5

--  by dividing both the numerator and denominator by 2.

6

 

Questions?

Answer 3

For any number divided by a fraction, you must multiply by its reciprocal!

 

Here you have -4/5 ÷ 2/3 so you must take the reciprocal (the "flip") of the second number, meaning that the numerator and denominator switch places. Now the problem becomes -4/5•3/2. Multiplying all across, the answer is:

 

-4/5•3/2

= (4•3) / (5•2)

=12/10 or 6/5 or 1 1/5