Question

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

Write an expression to match, and then evaluate.

Answer 1

`3((3)/(4)+(2)/(6))` (Expression)

`3((3)/(4)+(2)/(6))=3((13)/(12))=(39)/(12)=(13)/(4)` (Evaluated)

Explanation:

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

Then, "the sum of
`(3)/(4)` and
`(2)/(6)`" indicates addition:

`(3)/(4)+(2)/(6)`

Now "3 times as much as the sum of
`(3)/(4)` and
`(2)/(6)`" indicates a multiplication. It means that the sum of those fractions is multiplied by 3.

Then, the expression is:

`3((3)/(4)+(2)/(6))`

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

`3((3)/(4)+(2)/(6))=3((13)/(12))=(39)/(12)=(13)/(4)`