The product of two numbers is `5.75` If one of the numbers is `1.25.` find the other number.

Answer

To find the other number when the product of two numbers is `5.75` and one of the numbers is `1.25`, we can follow these steps:

### Step-by-Step Solution:

1. **Understand the Problem**: We know that the product of two numbers \( a \) and \( b \) is given by the equation:
\[ a \times b = 5.75 \]
We are given that \( a = 1.25 \). We need to find \( b \).

2. **Substitute the Known Value**: Substitute \( a \) with \( 1.25 \) in the equation:
\[ 1.25 \times b = 5.75 \]

3. **Isolate \( b \)**: To find \( b \), we need to isolate it on one side of the equation. We can do this by dividing both sides of the equation by \( 1.25 \):
\[ b = \frac{5.75}{1.25} \]

4. **Perform the Division**: Now, we need to calculate \( \frac{5.75}{1.25} \). To make the division easier, we can eliminate the decimals by multiplying both the numerator and the denominator by 100:
\[ b = \frac{5.75 \times 100}{1.25 \times 100} = \frac{575}{125} \]

5. **Simplify the Fraction**: Now, we can simplify \( \frac{575}{125} \):
- Divide both the numerator and the denominator by 25:
\[ b = \frac{575 \div 25}{125 \div 25} = \frac{23}{5} \]

6. **Convert to Decimal**: Now, convert \( \frac{23}{5} \) to a decimal:
\[ b = 4.6 \]

7. **Final Answer**: Therefore, the other number \( b \) is:
\[ \boxed{4.6} \]