$$ \frac { 1 imes \square } { 10 imes \square } = \frac { \square } { 100 } $$

Question

$$ \frac { 1 	imes \square } { 10 	imes \square } = \frac { \square } { 100 } $$

UpStudy AI · Accepted Answer

To solve the equation

$$
\frac { 1 \times x } { 10 \times x } = \frac { x } { 100 }
$$

we can start by simplifying both sides.

1. **Simplify the left side:**
   The left side can be simplified as follows:

$$
   \frac { 1 \times x } { 10 \times x } = \frac {1}{10}
   $$

(assuming $$ x \neq 0 $$ to avoid division by zero).

2. **Set the equation:**
   Now we have:

$$
   \frac {1}{10} = \frac {x}{100}
   $$

3. **Cross-multiply:**
   Cross-multiplying gives us:

$$
   1 \times 100 = 10 \times x
   $$

which simplifies to:

$$
   100 = 10x
   $$

4. **Solve for $$ x $$:**
   Dividing both sides by 10:

$$
   x = \frac{100}{10} = 10
   $$

Thus, the solution to the equation is

$$
x = 10
$$
$$ x = 10 $$

\( \frac { 1 \times \square } { 10 \times \square } = \frac { \square } { 100 } \)