Question

Which of the following gives the numerical expression for the statement, '4/5 the sum (1 + 2/3) added to twice the difference between 3 and 1/2'?

• A. $\frac{4}{5}$ + (1 + $\frac{2}{3}$) + 2(3 - $\frac{1}{2})$
• B. $\frac{4}{5}$(1 + $\frac{2}{3}$) + 2(3) - $\frac{1}{2}$
• C. $\frac{4}{5}$(1 + $\frac{2}{3}$) + 2(3 - $\frac{1}{2})$
• D. $\frac{4}{5}$(1 + $\frac{2}{3}$) + 3 - 2$\frac{1}{2}$

Answer 1

The correct option is C $\frac{4}{5}$(1 + $\frac{2}{3}$) + 2(3 - $\frac{1}{2})$

Given statement: 4/5 the sum (1 + 2/3) added to twice the difference of 3 and 1/2

Sum of 1 and $\frac{2}{3}$ = (1 + $\frac{2}{3}$)

4/5 the sum (1 + $\frac{2}{3}$) = $\frac{4}{5}$(1 + $\frac{2}{3}$)

Twice the difference between 3 and 1/2
= 2(3 - $\frac{1}{2})$

Adding the two terms, we get,
$\frac{4}{5}$(1 + $\frac{2}{3}$) + 2(3 - $\frac{1}{2})$