Question

Simplify - 1/2 - (-3/4)

Answer 1

Step-by-step explanation

Step 1

break the parenthesis:

to do that, multiply the signs,

`\begin{gathered} -\cdot-=\text{ +} \\ so \end{gathered}`
`\begin{gathered} -(1)/(2)-(-(3)/(4)) \\ -(1)/(2)-(-(3)/(4))=-(1)/(2)+(3)/(4) \\ -(1)/(2)+(3)/(4) \end{gathered}`

Step 2

now, add / subtract the fractions:

remember.

`(a)/(b)\pm(c)/(d)=(ad\pm bc)/(bd)`

so

`\begin{gathered} -(1)/(2)+(3)/(4) \\ (3)/(4)-(1)/(2)=(3\cdot2-1\cdot4)/(4\cdot2)=(6-4)/(8)=(2)/(8)=(1)/(4) \\ -(1)/(2)+(3)/(4)=(1)/(4) \end{gathered}`

therefore,

`\begin{gathered} -(1)/(2)-(-(3)/(4))=(1)/(4) \\ \end{gathered}`

so,the answer is

`(1)/(4)`

I hope this helps you