Question

What is the value of the expression below? If entering the value as fraction or mixed number, give the answer in lowest term.-0.2 + (-¾) + 2.15 - (-⅖)

Answer 1

`1(3)/(5)`

Step-by-step explanation:

-0.2 + (-¾) + 2.15 - (-⅖)​

let's convert the decimal to fractions:

-0.2 = -2/10 = -1/5

2.15 = 215/100 = 43/20

-0.2 + (-¾) + 2.15 - (-⅖)​ = -1/5 + (-¾) + 43/20 - (-⅖)​

Expanading the bracket:

Multiplication of same sign gives positive number. Multiplication of opposite signs give negative number.

= -1/5 -3/4 + 43/20 + 2/5

`\begin{gathered} \text{The LCM = 20} \\ =(-1(4)-3(5)+43+2(4))/(20) \\ \end{gathered}`
`\begin{gathered} =(-4-15+43+8)/(20)=(32)/(20) \\ =(8)/(5) \\ =1(3)/(5) \end{gathered}`