Question

Step 4: Find the numerator and the denominator.

61
×
64
×
1
10
×
1
10

​
×
1
10
×
1
10

3904
×
1
10
×
1
10
=
3904
×
1
​

Answer 1

To find the numerator and the denominator of the expression given, we need to first analyze the numbers involved in the multiplication.

The expression given is:

\[
61 \times 64 \times \frac{1}{10} \times \frac{1}{10} \times \frac{1}{10} \times \frac{1}{10} \times 3904 \times \frac{1}{10} \times \frac{1}{10}
\]

Now let's break this down:

1. **Multiply the integers**:

\( 61 \times 64 \) can be calculated as follows:

\[
61 \times 64 = 3904
\]

2. **Multiply the powers of 10**:

Each instance of \(\frac{1}{10}\) represents a division by 10, and there are 6 multiplications involving \(\frac{1}{10}\):

\[
\left(\frac{1}{10}\right)^6 = \frac{1}{10^6} = \frac{1}{1000000}
\]

3. **The final expression**:

Putting it all together, the expression simplifies to:

\[
3904 \times \frac{1}{1000000}
\]

Which can be written as:

\[
\frac{3904}{1000000}
\]

So, the **numerator** is \(3904\) and the **denominator** is \(1000000\).

Answer 2

Step 4: Find the numerator and the denominator.

61
×
64
×
1
10
×
1
10

​
×
1
10
×
1
10

3904
×
1
10
×
1
10
=
3904
×
1
​