Question

What is -5/6 divided by 9/10?

A. -27/25

B. -4/3

C. -3/4

D. -25/27

Answer 1

`-(5)/(6)` ÷
`(9)/(10)`

First, apply the rule (easiest way if you have learned it):
`a` ÷
`(b)/(c) = a` ×
`(c)/(b)`

`- (5)/(6)` ×
`(10)/(9)`
Second, apply the last rule:
`(a)/(b)` ×
`(c)/(d) = (ac)/(bd)`

`- (5*10)/(6*9)`
Third, multiply 5 × 10 to get 50.

`- (50)/(6*9)`
Fourth, multiply 6 × 9 to get 54.

`-(50)/(54)`
Fifth, find the GCF of 50 and 54.
The GCF should be 2.
Sixth, divide the numerator by the GCF.

`50` ÷
`2 = 25`
Seventh, divide the denominator by the GCF.

`54` ÷
`2 = 27`
Eighth, now put 25 and 27 together to get the simplified fraction.

`- (25)/(27)`

Answer as fraction:
`-(25)/(27)`
Answer as decimal: 0.9259