Answer:
15.75
Explanation:
What you're solving forThe value of \(\frac{3}{4}(6x+8)\).What’s given in the problem\(x=2\frac{1}{6}\)Step 1Find the value of the given expression.Substitute \(x=2\frac{1}{6}\) into the expression.\(\frac{3}{4}(6x+8)\)\(\frac{3}{4}(6\cdot 2\frac{1}{6}+8)\)Convert the mixed number into an improper fraction.\(\frac{3}{4}(6\cdot \frac{13}{6}+8)\)Cancel out the common factor.\(\frac{3}{4}(13+8)\)Add the numbers.\(\frac{3}{4}\cdot 21\)Calculate the product.\(\frac{63}{4}\)Convert the fraction into a decimal number.\(15.75\)SolutionThe required value is \(15.75\).