Answer:
[tex]-\frac{2}{3} - (-\frac{3}{4}) = \frac{1}{12}[/tex]
[tex]\frac{5}{6} + \frac{5}{12} = \frac{5}{3}[/tex]
Step-by-step explanation:
Given
[tex]-\frac{2}{3} - (-\frac{3}{4})[/tex]
Required
Solve:
[tex]-\frac{2}{3} - (-\frac{3}{4})[/tex]
Open bracket
[tex]-\frac{2}{3} - (-\frac{3}{4}) = -\frac{2}{3} +\frac{3}{4}[/tex]
Take LCM
[tex]-\frac{2}{3} - (-\frac{3}{4}) = \frac{-8+9}{12}[/tex]
[tex]-\frac{2}{3} - (-\frac{3}{4}) = \frac{1}{12}[/tex]
[tex]\frac{5}{6} + \frac{5}{12}[/tex]
Take LCM
[tex]\frac{5}{6} + \frac{5}{12} = \frac{10+5}{12}[/tex]
[tex]\frac{5}{6} + \frac{5}{12} = \frac{15}{12}[/tex]
Divide by 3/3
[tex]\frac{5}{6} + \frac{5}{12} = \frac{5}{3}[/tex]
