Question

find the value of the following expression for \\(x = 9\\) and \\(y = 3\\).
\\\frac{x}{4} + \frac{y}{7}\\
\\\frac{x}{4} + \frac{y}{7} = \square\\
(simplify your answer. type a whole number or a fraction.)

Explanation:

Substitute the given values into the expression

$$ \text{For } x = 9 \text{ and } y = 3, \quad \frac{x}{4} + \frac{y}{7} = \frac{9}{4} + \frac{3}{7} $$

Find a common denominator and add the fractions

$$ \text{LCD}(4, 7) = 28 $$

$$ \frac{9 \times 7}{4 \times 7} + \frac{3 \times 4}{7 \times 4} = \frac{63}{28} + \frac{12}{28} = \frac{75}{28} $$

Answer:

Find the value of the following expression for \(x = 9\) and \(y = 3\).

\(\frac{x}{4} + \frac{y}{7} =\) <blank>\(\frac{75}{28}\)</blank>