Question

find the quotient of -1 4/5 and 3 1/4

Answer 1

the quotient of -1 4/5 and 3 1/4 = (-1 4/5) / ( 3 1/4)

= [ - (5 * 1 + 4) / 5 ] / [ (3 * 4 + 1) / 4 ]

= [ -9 / 5 ] / [ 13 / 4 ]

= [ -9 / 5 ] * [ 4 / 13 ]

= [ -9 * 4 ] / [ 5 * 13 ]

= -36/65




another way is to do it separately first:  -1 4/5 and 3 1/4

-1 4/5 = -(1 + 4/5)

= -(5/5 + 4/5)

= -9/5


3 1/4 = 3 + 1/4

= 3*4/4 + 1/4

= 12/4 + 1/4

= 13/4


so (-1 4/5) / ( 3 1/4)

= (-9/5) / (13/4)

= (-9/5) * (4/13)

= (-9*4) / (5*13)

= -36/65

Answer 2

Here, Expression: (-1 4/5)/(3 1/4)

= (-9/5)/(13/4)

We can re-write it as:

= -9/5 * 4/13

= -36/65

In short, Your Answer would be: -36/65

Hope this helps!