Convert each of the following decimals into a fraction :
3.75

Answer

To convert the decimal 3.75 into a fraction, follow these steps:

### Step 1: Write the decimal as a fraction
We start by writing the decimal number 3.75 as a fraction. Since there are two digits after the decimal point, we can express it as:
\[ \frac{3.75}{1} = \frac{3.75 \times 100}{1 \times 100} = \frac{375}{100} \]

### Step 2: Simplify the fraction
Now, we need to simplify the fraction \(\frac{375}{100}\). To do this, we will find the greatest common divisor (GCD) of the numerator (375) and the denominator (100).

1. The factors of 375 are: 1, 3, 5, 15, 25, 75, 125, 375.
2. The factors of 100 are: 1, 2, 4, 5, 10, 20, 25, 50, 100.
3. The common factors are: 1, 5, 25. The greatest common factor is 25.

Now, we divide both the numerator and the denominator by their GCD (25):
\[ \frac{375 \div 25}{100 \div 25} = \frac{15}{4} \]

### Step 3: Write the final answer
Thus, the decimal 3.75 can be expressed as the fraction:
\[ \frac{15}{4} \]