Question

Multiply. Write your answer as a fraction in simplest form.

5/6⋅(−4 1/2)⋅(−2 1/5)=

Answer 1

7425

Explanation:

First let's make the last two fractions improper.

-4 1/2 = -9/2 -2 1/5 = -11/5

Now we have to find the least common denominator.

`(5)/(6) *(-9)/(2)*(-11)/(5)`

The least common denominator is 30 because all the denominators can be multiplied by something to get 30.

`((5)/(5))*(5)/(6)* ((15)/(15))*(-9)/(2)* ((6)/(6))*(-11)/(5)` Simplify

`(25)/(30)*(-135)/(30)*(-66)/(30)` simply

`(-3375)/(30)*(-66)/(30)`

`(222750)/(30)` simply

7425