Convert each of the following fractions into a decimal :
`217/100`

Answer

To convert the fraction \( \frac{217}{100} \) into a decimal, follow these steps:

### Step 1: Set up the division
We need to divide 217 by 100. This can be written as:
\[ 217 \div 100 \]

### Step 2: Perform the division
When we divide 217 by 100, we can see how many times 100 fits into 217.

- 100 goes into 217 two times because \( 100 \times 2 = 200 \).
- Now, subtract 200 from 217:
\[ 217 - 200 = 17 \]

### Step 3: Add a decimal point
Since we are dividing, we can place a decimal point in the quotient. So far, we have:
\[ 2. \]

### Step 4: Bring down a zero
To continue the division, we can add a decimal zero to the remainder (17), making it 170. Now we divide:
\[ 170 \div 100 \]

- 100 goes into 170 one time because \( 100 \times 1 = 100 \).
- Now, subtract 100 from 170:
\[ 170 - 100 = 70 \]

### Step 5: Bring down another zero
Next, we bring down another zero, making it 700. Now we divide:
\[ 700 \div 100 \]

- 100 goes into 700 seven times because \( 100 \times 7 = 700 \).
- Now, subtract 700 from 700:
\[ 700 - 700 = 0 \]

### Step 6: Final result
Since there is no remainder left, we can conclude that:
\[ 217 \div 100 = 2.17 \]

Thus, the decimal representation of \( \frac{217}{100} \) is:
\[ 2.17 \]

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