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What is the solution of the equation x − 9/4 = −3/8
?(1 point)

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To solve the equation \( x - \frac{9}{4} = -\frac{3}{8} \), follow these steps:

  1. Add \(\frac{9}{4}\) to both sides of the equation:

    \[ x = -\frac{3}{8} + \frac{9}{4} \]

  2. To add these fractions, find a common denominator. The least common denominator (LCD) of 8 and 4 is 8.

    Convert \(\frac{9}{4}\) to eighths:

    \[ \frac{9}{4} = \frac{9 \times 2}{4 \times 2} = \frac{18}{8} \]

  3. Now substitute this back into the equation:

    \[ x = -\frac{3}{8} + \frac{18}{8} \]

  4. Combine the fractions:

    \[ x = \frac{-3 + 18}{8} = \frac{15}{8} \]

Thus, the solution to the equation is:

\[ \boxed{\frac{15}{8}} \]