Question

The quotient of a number and 2/3 is -9/10.What is the number?

Answer 1

27/20

Explanation:

Answer 2

Setting up your question as an equation becomes:


`quotient=a\ number*(2)/(3)=(-9)/(10)`
Change the words to variables and solve:

`x *(2)/(3)=(-9)/(10)\\\\((3)/(2))(x*(2)/(3))=((-9)/(10))((3)/(2))\\\\x=(-9*3)/(10*2)=(-27)/(20)`

Thus your answer is -27/20 in improper form, -1 7/20 in mixed form, and 1.35 in decimal form.