9/10 divided by (-6/5)

-3/4

Step-by-step explanation:

9/10 ÷ (-6/5)

Copy dot flip

9/10 * -5/6

Rewriting

-5/10 * 9/6

-1/2 * 3/2

-3/4

-3/4

Step-by-step explanation: Remember that dividing by a fraction is the same thing as multiplying by the reciprocal of that fraction or that fraction flipped.

In other words we can rewrite 9/10 ÷ -6/5 as 9/10 · -5/6.

Before multiplying however, notice that we can cross-cancel

the 9 and 6 to 3 and 2 and the 5 and 10 to 1 and 2.

So we now have 3/2 · -1/2.

Now multiplying across the numerators

and denominators we get -3/4.