Question

hat is the solution of the equation x − 9/4 = −3/8
?

Answer 1

To solve the equation \( x - \frac{9}{4} = -\frac{3}{8} \), we can isolate \( x \) by adding \(\frac{9}{4}\) to both sides of the equation.

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

Next, we need to have a common denominator to combine the fractions. The common denominator for \( 8 \) and \( 4 \) is \( 8 \). We can convert \(\frac{9}{4}\) to have a denominator of \( 8 \):

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

Now, substitute this back into the equation:

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

Combine the fractions:

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

Thus, the solution to the equation is:

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