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$Alfredo's employer withholds (1)/(5) of his gross wages for federal tax, (1)/(8) for state tax, and (1)/(10) for social security. Alfredo's weekly gross pay is $720. 3. What fraction of his gross wages does Alfredo take home? (1) (23)/(40) (2) (17)/(40) (3) (9)/(10) (4) (7)/(8) (5) (4)/(5)$

Alfredo's employer withholds $\frac{1}{5}$ of his gross wages for federal tax, $\frac{1}{8}$ for state tax, and $\frac{1}{10}$ for social security. Alfredo's weekly gross pay is $\$720$ . $\newline$ What fraction of his gross wages does Alfredo take home? $\newline$ ( $1$ ) $\frac{23}{40}$ $\newline$ ( $2$ ) $\frac{17}{40}$ $\newline$ ( $3$ ) $\frac{9}{10}$ $\newline$ ( $4$ ) $\frac{7}{8}$ $\newline$ ( $5$ ) $\frac{4}{5}$

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Q. Alfredo's employer withholds

\frac{1}{5}

of his gross wages for federal tax,

\frac{1}{8}

for state tax, and

\frac{1}{10}

for social security. Alfredo's weekly gross pay is

\$720

\newline

What fraction of his gross wages does Alfredo take home?

\newline

(

1

)

\frac{23}{40}

\newline

(

2

)

\frac{17}{40}

\newline

(

3

)

\frac{9}{10}

\newline

(

4

)

\frac{7}{8}

\newline

(

5

)

\frac{4}{5}

Calculate Total Fractions: Calculate the total fraction of Alfredo's wages withheld for taxes and social security. $\newline$ Federal tax withheld = $\frac{1}{5}$ , State tax withheld = $\frac{1}{8}$ , Social security withheld = $\frac{1}{10}$ . $\newline$ Add these fractions: $\left(\frac{1}{5}\right) + \left(\frac{1}{8}\right) + \left(\frac{1}{10}\right)$ . $\newline$ To add, find a common denominator, which is $40$ . $\newline$ $\left(\frac{8}{40}\right) + \left(\frac{5}{40}\right) + \left(\frac{4}{40}\right) = \frac{17}{40}$ .
Determine Take-Home Fraction: Determine the fraction of wages Alfredo takes home. Since $\frac{17}{40}$ of his wages are withheld, he takes home $1 - \frac{17}{40} = \frac{23}{40}$ of his wages.