Convert the following decimals into fractions.
9.435

Answer

To convert the decimal 9.435 into a fraction, we can follow these steps:

### Step 1: Identify the decimal places
The number 9.435 has three decimal places (the digits after the decimal point are 4, 3, and 5).

### Step 2: Remove the decimal
To convert the decimal into a fraction, we can multiply the decimal by 10 raised to the power of the number of decimal places. Since there are three decimal places, we multiply by \(10^3\) or 1000.

\[ 9.435 \times 1000 = 9435 \]

### Step 3: Write the fraction
Now that we have removed the decimal, we can write the fraction as:

\[ \frac{9435}{1000} \]

### Step 4: Simplify the fraction
Next, we need to simplify the fraction \(\frac{9435}{1000}\). We can do this by finding the greatest common divisor (GCD) of the numerator (9435) and the denominator (1000).

1. **Finding the GCD**: The GCD of 9435 and 1000 is 5.
2. **Dividing both the numerator and the denominator by the GCD**:

\[ \frac{9435 \div 5}{1000 \div 5} = \frac{1887}{200} \]

### Final Answer
Thus, the decimal 9.435 can be expressed as the fraction:

\[ \frac{1887}{200} \]

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