Find the product :
`3.67 xx 0.42`

Answer

To find the product of \(3.67\) and \(0.42\), we can follow these steps:

### Step 1: Convert the decimals to fractions
We can express \(3.67\) and \(0.42\) as fractions:
\[ 3.67 = \frac{367}{100} \quad \text{and} \quad 0.42 = \frac{42}{100} \]

### Step 2: Multiply the fractions
Now, we can multiply these two fractions:
\[ 3.67 \times 0.42 = \frac{367}{100} \times \frac{42}{100} = \frac{367 \times 42}{100 \times 100} \]

### Step 3: Calculate the numerator
Next, we need to calculate \(367 \times 42\). We can do this step by step:
1. Multiply \(367\) by \(2\):
\[ 367 \times 2 = 734 \]
2. Multiply \(367\) by \(40\) (which is \(4\) and then add a zero):
\[ 367 \times 40 = 14680 \]
3. Now add these two results together:
\[ 734 + 14680 = 15414 \]

### Step 4: Write the result as a fraction
Now we have:
\[ 3.67 \times 0.42 = \frac{15414}{10000} \]

### Step 5: Convert the fraction to a decimal
To convert \(\frac{15414}{10000}\) to a decimal, we can divide \(15414\) by \(10000\):
\[ 15414 \div 10000 = 1.5414 \]

### Final Answer
Thus, the product of \(3.67\) and \(0.42\) is:
\[ \boxed{1.5414} \]

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