Question

what dose the x equal in x-9/4=-3/8

Answer 1

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, you need a common denominator. The least common multiple of 8 and 4 is 8. Convert \(\frac{9}{4}\) to have a denominator of 8:

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

3. Now substitute this back into the equation:

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

4. Combine the fractions:

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

Thus, the value of \( x \) is

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