Which is the smallest number of the following?
`(2)/(3),-1.5 ,(5)/(3),-1.375`

Options

A. `-1.375`
B. `-1.5`
C. `(5)/(3)`
D. `(2)/(3)`

Explanation

To find the smallest number among the given options: \( \frac{2}{3}, -1.5, \frac{5}{3}, -1.375 \), we will follow these steps:

### Step 1: Convert all numbers to decimal form
- \( \frac{2}{3} \) is approximately \( 0.67 \).
- \( -1.5 \) is already in decimal form.
- \( \frac{5}{3} \) is approximately \( 1.67 \).
- \( -1.375 \) is already in decimal form.

### Step 2: List the numbers in decimal form
Now we have:
- \( 0.67 \)
- \( -1.5 \)
- \( 1.67 \)
- \( -1.375 \)

### Step 3: Identify the negative numbers
From the list, the negative numbers are:
- \( -1.5 \)
- \( -1.375 \)

### Step 4: Compare the negative numbers
To determine which is smaller, we compare \( -1.5 \) and \( -1.375 \):
- Since \( -1.5 \) is further left on the number line than \( -1.375 \), it is smaller.

### Step 5: Conclusion
Thus, the smallest number among the given options is:
- **Answer: \( -1.5 \)**

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