Write the proper number in the empty boxes :
`3/2=(3xx□ )/(2xx□ )= □ /10=□ `

Answer

To solve the equation \( \frac{3}{2} = \frac{3 \times \square}{2 \times \square} = \frac{\square}{10} = \square \), we need to fill in the empty boxes step by step.

### Step 1: Understand the relationship
We start with the equation \( \frac{3}{2} \). We need to find a number that we can multiply both the numerator (3) and the denominator (2) by, so that the denominator becomes 10.

### Step 2: Find the multiplier for the denominator
To find the number that we need to multiply 2 by to get 10, we can set up the equation:
\[ 2 \times x = 10 \]
To solve for \( x \), we divide both sides by 2:
\[ x = \frac{10}{2} = 5 \]

### Step 3: Fill in the first box
Now that we have found \( x = 5 \), we can fill in the first box:
\[ \frac{3}{2} = \frac{3 \times 5}{2 \times 5} \]
So, the first box is **5**.

### Step 4: Calculate the new numerator
Now we calculate the new numerator:
\[ 3 \times 5 = 15 \]
We can fill in the second box with **5** (the multiplier we found) and the third box with **15** (the new numerator).

### Step 5: Write the fraction with the new denominator
Now we have:
\[ \frac{15}{10} \]
This is equal to the fraction we are trying to find.

### Step 6: Convert the fraction to a decimal
Next, we convert \( \frac{15}{10} \) into a decimal:
\[ \frac{15}{10} = 1.5 \]
So, we fill in the last box with **1.5**.

### Final Result
The filled boxes are:
- First box: **5**
- Second box: **5**
- Third box: **15**
- Fourth box: **1.5**

### Summary of the filled boxes:
- \( \frac{3}{2} = \frac{3 \times 5}{2 \times 5} = \frac{15}{10} = 1.5 \)