Question

3 times as much as the sum of 3/4 and 2/6.

Write an expression to match, and then evaluate.

Answer 1

Answer:

$3(\frac{3}{4}+\frac{2}{6})$  (Expression)

$3(\frac{3}{4}+\frac{2}{6})=3(\frac{13}{12})=\frac{39}{12}=\frac{13}{4}$  (Evaluated)

Step-by-step explanation:

It is important to remember that the sum is the result of an addition.

Then, "the sum of $\frac{3}{4}$ and $\frac{2}{6}$" indicates addition:

$\frac{3}{4}+\frac{2}{6}$

Now "3 times as much as the sum of $\frac{3}{4}$ and $\frac{2}{6}$" indicates a multiplication. It means that the sum of those fractions is multiplied by 3.

Then, the expression is:

$3(\frac{3}{4}+\frac{2}{6})$

In order to evaluate the expression, we must add the fractions, multiply the sum by 3 and the reduce the fraction:

$3(\frac{3}{4}+\frac{2}{6})=3(\frac{13}{12})=\frac{39}{12}=\frac{13}{4}$