`(-4)/(5)` is larger than `(-5)/(4)`.

Answer

To determine whether \(-\frac{4}{5}\) is larger than \(-\frac{5}{4}\), we can follow these steps:

### Step 1: Write down the two rational numbers.
We need to compare:
\[ -\frac{4}{5} \quad \text{and} \quad -\frac{5}{4} \]

### Step 2: Cross-multiply to compare the two fractions.
To compare the two fractions, we can cross-multiply:
\[ -\frac{4}{5} \quad \text{and} \quad -\frac{5}{4} \]
Cross-multiplying gives us:
\[ -4 \times 4 \quad \text{and} \quad -5 \times 5 \]
Calculating these:
\[ -4 \times 4 = -16 \quad \text{and} \quad -5 \times 5 = -25 \]

### Step 3: Compare the results of the cross-multiplication.
Now we compare \(-16\) and \(-25\):
Since both numbers are negative, the number that is closer to zero is larger. Therefore:
\[ -16 > -25 \]

### Step 4: Conclude the comparison.
Since \(-16\) is greater than \(-25\), we conclude that:
\[ -\frac{4}{5} > -\frac{5}{4} \]

### Final Answer:
Thus, \(-\frac{4}{5}\) is larger than \(-\frac{5}{4}\).

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