Find three equivalent rational numbers of:
`((-24))/(72)`

Answer

To find three equivalent rational numbers for \(\frac{-24}{72}\), we can follow these steps:

### Step 1: Understand the concept of equivalent rational numbers
Equivalent rational numbers are obtained by multiplying both the numerator and the denominator of a rational number by the same non-zero integer.

### Step 2: Find the first equivalent rational number
Let's multiply both the numerator and the denominator of \(\frac{-24}{72}\) by \(2\):
\[ \frac{-24 \times 2}{72 \times 2} = \frac{-48}{144} \]
So, the first equivalent rational number is \(\frac{-48}{144}\).

### Step 3: Find the second equivalent rational number
Now, let's multiply both the numerator and the denominator by \(3\):
\[ \frac{-24 \times 3}{72 \times 3} = \frac{-72}{216} \]
Thus, the second equivalent rational number is \(\frac{-72}{216}\).

### Step 4: Find the third equivalent rational number
Next, we will multiply both the numerator and the denominator by \(5\):
\[ \frac{-24 \times 5}{72 \times 5} = \frac{-120}{360} \]
Therefore, the third equivalent rational number is \(\frac{-120}{360}\).

### Final Result
The three equivalent rational numbers for \(\frac{-24}{72}\) are:
1. \(\frac{-48}{144}\)
2. \(\frac{-72}{216}\)
3. \(\frac{-120}{360}\)

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