Question

Two students use different methods to solve this multiplication problem:

3/4*-4 2/9
Read each of their methods below and then enter numbers to correctly complete their
work.

Answer 1

Answer/Step-by-step Explanation:

Given,
`(3)/(4)*-4(2)/(9)`

Ivy solves this problem by writing each number as a fraction and then multiplies as shown below:

`(3)/(4)*-4(2)/(9) = (3)/(4)* -(38)/(9)`

`= (3)/(4)*-(38)/(9) = -(3*38)/(4*9) = -(1*19)/(2*3)`

`= -(19)/(6)`

Fabian solves this problem by writing the mixed number as a sum and applies the distributive method of multiplication as shown below:

`(3)/(4)*-4(2)/(9) = (3)/(4)(-4 + -(2)/(9))`

`= (3)/(4)*-4 + (3)/(4)*-(2)/(9)`

`= -(3)/(1) + (1)/(2)*-(1)/(3)`

`= -3 + (-(1)/(6))`

`= -3 - (1)/(6) = -3(1)/(6)`