Convert the following decimals into a fraction
2.02

Answer

To convert the decimal 2.02 into a fraction, follow these steps:

### Step 1: Identify the decimal
The given decimal is 2.02.

### Step 2: Write the decimal as a fraction
To convert a decimal to a fraction, we can express it as follows:
- The whole number part is 2.
- The decimal part is 0.02.

We can express 2.02 as:
\[ 2.02 = 2 + 0.02 \]

### Step 3: Convert the decimal part to a fraction
The decimal 0.02 can be expressed as:
\[ 0.02 = \frac{2}{100} \]
This is because there are two digits after the decimal point, which means we divide by 100.

### Step 4: Combine the whole number and the fraction
Now, we can express 2.02 as:
\[ 2.02 = 2 + \frac{2}{100} \]
To combine these, we convert the whole number 2 into a fraction with a denominator of 100:
\[ 2 = \frac{200}{100} \]
Now we can add the two fractions:
\[ \frac{200}{100} + \frac{2}{100} = \frac{200 + 2}{100} = \frac{202}{100} \]

### Step 5: Simplify the fraction
Now we simplify \(\frac{202}{100}\):
- Both the numerator and the denominator can be divided by 2:
\[ \frac{202 \div 2}{100 \div 2} = \frac{101}{50} \]

### Final Answer
Thus, the decimal 2.02 can be expressed as the fraction:
\[ \frac{101}{50} \]