Question

What is the value of 6 3/4 (-11.5)

Answer 1

We are given the following expression

`6(3)/(4)(-11.5)`

As you can see, a mixed number is being multiplied with a negative decimal number.

First, convert the mixed number to a simple fraction then multiply with the decimal number

`6(3)/(4)=(6\cdot4+3)/(4)=(24+3)/(4)=(27)/(4)`

Now multiply it with the negative decimal number

`(27)/(4)(-11.5)=-(310.5)/(4)=-77.625`

So the resultant decimal number may be written back into the mixed form as

`-77.625=-77(5)/(8)`

Therefore, the result of the given expression is -77 5/8