Convert each of the following fractions into a decimal :
`12/125`

Answer

To convert the fraction \( \frac{12}{125} \) into a decimal, we will use the division method. Here’s a step-by-step solution:

### Step 1: Set up the division
We need to divide 12 by 125. Since 12 is smaller than 125, we cannot divide it directly.

### Step 2: Add a decimal point and zeros
To perform the division, we place a decimal point after 12 and add a zero, making it 12.0. This allows us to continue the division.

### Step 3: Divide 120 by 125
Now we divide 120 by 125. Since 125 does not go into 120, we write 0 before the decimal point.

### Step 4: Add another zero
Next, we add another zero to make it 1200. Now we can divide.

### Step 5: Calculate how many times 125 goes into 1200
125 goes into 1200 a total of 9 times (since \( 125 \times 9 = 1125 \)).

### Step 6: Subtract
Now we subtract 1125 from 1200:
\[ 1200 - 1125 = 75 \]

### Step 7: Bring down another zero
Since we still have a remainder, we bring down another zero, making it 750.

### Step 8: Divide 750 by 125
Now we divide 750 by 125. 125 goes into 750 a total of 6 times (since \( 125 \times 6 = 750 \)).

### Step 9: Subtract again
Now we subtract:
\[ 750 - 750 = 0 \]

### Step 10: Write the final answer
Since there is no remainder left, we can conclude that:
\[ \frac{12}{125} = 0.096 \]

Thus, the decimal equivalent of \( \frac{12}{125} \) is **0.096**.

---