Express `-5/8` as a rational number with numerator:
`-10`

Answer

To express \(-\frac{5}{8}\) as a rational number with the numerator \(-10\), we can follow these steps:

### Step 1: Identify the current fraction
We start with the fraction:
\[ -\frac{5}{8} \]

### Step 2: Determine the factor needed for the numerator
We need to convert the numerator from \(-5\) to \(-10\). To do this, we can find a factor:
\[ -5 \times 2 = -10 \]
This means we need to multiply the numerator by \(2\).

### Step 3: Maintain the balance of the fraction
When we multiply the numerator by \(2\), we must also multiply the denominator by the same factor to keep the value of the fraction unchanged:
\[ -\frac{5 \times 2}{8 \times 2} = -\frac{10}{16} \]

### Step 4: Write the final answer
Thus, the expression of \(-\frac{5}{8}\) with a numerator of \(-10\) is:
\[ -\frac{10}{16} \]

### Summary
So, \(-\frac{5}{8}\) can be expressed as \(-\frac{10}{16}\).

---