The decimal form of `75(491)/(1000)` is

Options

A. `7504.91`
B. `7500.491`
C. `75.491`
D. `75.0491`

Answer

To find the decimal form of \( 75 \frac{491}{1000} \), we will follow these steps:

### Step 1: Convert the mixed fraction to a simple fraction
The mixed fraction \( 75 \frac{491}{1000} \) can be expressed as:
\[ 75 + \frac{491}{1000} \]

### Step 2: Convert the whole number to decimal
The whole number \( 75 \) can be written in decimal form as:
\[ 75.000 \]

### Step 3: Convert the simple fraction to decimal
Now, we will convert \( \frac{491}{1000} \) to decimal form. Since the denominator is \( 1000 \), we can directly write it as:
\[ 0.491 \]

### Step 4: Add the two decimal values
Now we will add the whole number in decimal form and the simple fraction in decimal form:
\[ 75.000 + 0.491 \]

### Step 5: Perform the addition
Align the numbers by the decimal point and add:
```
75.000
+ 0.491
---------
75.491
```

### Conclusion
Thus, the decimal form of \( 75 \frac{491}{1000} \) is:
\[ \boxed{75.491} \]

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