3 times as much as the sum of 3/4 and 2/6.Write an expression to match, and then evaluate.

Answer: [tex]3(\frac{3}{4}+\frac{2}{6})[/tex]  (Expression) [tex]3(\frac{3}{4}+\frac{2}{6})=3(\frac{13}{12})=\frac{39}{12}=\frac{13}{4}[/tex]  (Evaluated)Step-by-step explanation: It is important to remember that the sum is the result of an addition. Then, "the sum of [tex]\frac{3}{4}[/tex] and [tex]\frac{2}{6}[/tex]" indicates addition: [tex]\frac{3}{4}+\frac{2}{6}[/tex] Now "3 times as much as the sum of [tex]\frac{3}{4}[/tex] and [tex]\frac{2}{6}[/tex]" indicates a multiplication. It means that the sum of those fractions is multiplied by 3. Then, the expression is: [tex]3(\frac{3}{4}+\frac{2}{6})[/tex] In order to evaluate the expression, we must add the fractions, multiply the sum by 3 and the reduce the fraction: [tex]3(\frac{3}{4}+\frac{2}{6})=3(\frac{13}{12})=\frac{39}{12}=\frac{13}{4}[/tex]