Convert the following terminating decimals as fractions
0.7575

Answer

To convert the terminating decimal 0.7575 into a fraction, we can follow these steps:

### Step 1: Identify the Decimal
The given decimal is 0.7575.

### Step 2: Remove the Decimal Point
To convert the decimal to a fraction, we can eliminate the decimal point by multiplying the decimal by a power of 10. Since there are 4 digits after the decimal point, we will multiply by 10^4 (which is 10,000).

\[ 0.7575 \times 10,000 = 7575 \]

### Step 3: Write as a Fraction
Now, we can express this as a fraction:

\[ \frac{7575}{10,000} \]

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

First, we can divide both the numerator and the denominator by 5:

\[ \frac{7575 \div 5}{10,000 \div 5} = \frac{1515}{2000} \]

Now, we can simplify further by dividing both by 5 again:

\[ \frac{1515 \div 5}{2000 \div 5} = \frac{303}{400} \]

### Final Answer
Thus, the decimal 0.7575 can be expressed as the fraction:

\[ \frac{303}{400} \]