Answer:
[tex]\frac{2}{3}[/tex]
Step-by-step explanation:
We are given that an expression
[tex]\frac{5}{6}-(\frac{1}{8}\div\frac{3}{4})[/tex]
We have to find the value of expression.
[tex]\frac{5}{6}-(\frac{1}{8}\div\frac{3}{4})[/tex]
When we change divide into multiply then the term will be reciprocal.
By using this property
[tex]\frac{5}{6}-(\frac{1}{8}\times \frac{4}{3})[/tex]
[tex]\frac{5}{6}-\frac{1}{6}[/tex]
By simplification
[tex]\frac{5-1}{6}[/tex]
By simplification
[tex]\frac{4}{6}[/tex]
By using subtraction property of integers
[tex]\frac{2}{3}[/tex]
Hence, the value of given expression =[tex]\frac{2}{3}[/tex]