Express each of the following as fraction is simplest form :
4.75

Answer

To express 4.75 as a fraction in its simplest form, follow these steps:

### Step 1: Convert the decimal to a fraction
The decimal 4.75 can be expressed as:
\[ 4.75 = \frac{475}{100} \]

### Step 2: Simplify the fraction
Now, we need to simplify the fraction \(\frac{475}{100}\). To do this, we will find the greatest common divisor (GCD) of the numerator (475) and the denominator (100).

### Step 3: Find the GCD
To find the GCD, we can divide both the numerator and the denominator by their common factors.

1. **Divide by 5**:
- \(475 \div 5 = 95\)
- \(100 \div 5 = 20\)

So, we have:
\[ \frac{475}{100} = \frac{95}{20} \]

2. **Divide again by 5**:
- \(95 \div 5 = 19\)
- \(20 \div 5 = 4\)

Now we have:
\[ \frac{95}{20} = \frac{19}{4} \]

### Step 4: Final answer
The simplest form of the fraction representing 4.75 is:
\[ \frac{19}{4} \]

### Summary
Thus, \(4.75\) expressed as a fraction in its simplest form is \(\frac{19}{4}\).

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