Question

solve for x.
$x + \frac{9}{16} = \frac{11}{16}$
$x = \square$

Explanation:

Step1: Subtract 9/16 from both sides

To solve for \( x \), we need to isolate it. We can do this by subtracting \( \frac{9}{16} \) from both sides of the equation \( x + \frac{9}{16} = \frac{11}{16} \). This gives us \( x = \frac{11}{16} - \frac{9}{16} \).

Step2: Subtract the fractions

Since the denominators are the same, we subtract the numerators: \( \frac{11 - 9}{16} = \frac{2}{16} \). Then we simplify the fraction by dividing both the numerator and the denominator by their greatest common divisor, which is 2. So \( \frac{2 \div 2}{16 \div 2} = \frac{1}{8} \).

Answer:

\( \frac{1}{8} \)