Workout the
`0.144 -:0.02`

Answer

To solve the problem \(0.144 \div 0.02\), we can follow these steps:

### Step 1: Convert the decimals to fractions
First, we convert both decimal numbers into fractions.

- For \(0.144\):
- It has three decimal places, so we can write it as:
\[ 0.144 = \frac{144}{1000} \]

- For \(0.02\):
- It has two decimal places, so we can write it as:
\[ 0.02 = \frac{2}{100} \]

### Step 2: Set up the division of fractions
Now, we need to divide the two fractions:
\[ \frac{144}{1000} \div \frac{2}{100} \]

### Step 3: Change division to multiplication
When dividing fractions, we multiply by the reciprocal of the second fraction:
\[ \frac{144}{1000} \times \frac{100}{2} \]

### Step 4: Simplify the fractions
Before multiplying, we can simplify the fractions:
- The \(100\) in the numerator and denominator can be simplified:
\[ \frac{144}{1000} \times \frac{100}{2} = \frac{144 \times 1}{10 \times 2} = \frac{144}{2000} \]

### Step 5: Perform the multiplication
Now we multiply:
\[ \frac{144}{2000} \]

### Step 6: Simplify further
To simplify \(\frac{144}{2000}\), we can find the greatest common divisor (GCD) of 144 and 2000. The GCD is 16.
- Dividing both the numerator and denominator by 16:
\[ \frac{144 \div 16}{2000 \div 16} = \frac{9}{125} \]

### Step 7: Convert back to decimal
Now, we can convert \(\frac{9}{125}\) back to a decimal by performing the division:
\[ 9 \div 125 = 0.072 \]

### Final Answer
Thus, the final answer for \(0.144 \div 0.02\) is:
\[ \boxed{7.2} \]

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