Question

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

Answer 1

Explanation

Step 1

break the parenthesis:

to do that, multiply the signs,

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

Step 2

now, add / subtract the fractions:

remember.

$\frac{a}{b}\pm\frac{c}{d}=\frac{ad\pm bc}{bd}$

so

$\begin{gathered} -\frac{1}{2}+\frac{3}{4} \\ \frac{3}{4}-\frac{1}{2}=\frac{3\cdot2-1\cdot4}{4\cdot2}=\frac{6-4}{8}=\frac{2}{8}=\frac{1}{4} \\ -\frac{1}{2}+\frac{3}{4}=\frac{1}{4} \end{gathered}$

therefore,

$\begin{gathered} -\frac{1}{2}-(-\frac{3}{4})=\frac{1}{4} \\ \end{gathered}$

so,the answer is

$\frac{1}{4}$

I hope this helps you