Rational number `(-18)/5` lies between consecutive integers :

Options

A. `-2 and -3`
B. `-3 and -4`
C. `-4 and -5`
D. `-5 and -6`

Answer

To determine between which consecutive integers the rational number \(-\frac{18}{5}\) lies, we can follow these steps:

### Step 1: Convert the Rational Number to Decimal
First, we need to convert \(-\frac{18}{5}\) into a decimal form. We can do this by performing the division:

\[ -\frac{18}{5} = -3.6 \]

### Step 2: Identify the Consecutive Integers
Next, we need to find the two consecutive integers that \(-3.6\) lies between. The integers immediately surrounding \(-3.6\) are \(-4\) and \(-3\).

### Step 3: Conclusion
Thus, we can conclude that the rational number \(-\frac{18}{5}\) lies between the consecutive integers \(-4\) and \(-3\).

### Final Answer
\(-\frac{18}{5}\) lies between the consecutive integers \(-4\) and \(-3\).

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