Fill in the boxes and complete the equivalent fractions:
`3/(5)=12/(square)=square/(30)=6/(square)`

Answer

To complete the equivalent fractions for the given question, we will follow these steps:

### Step 1: Understand the relationship between fractions
We know that equivalent fractions are fractions that represent the same value. For example, if we have the fraction \( \frac{3}{5} \), we can find equivalent fractions by multiplying both the numerator and the denominator by the same number.

### Step 2: Find the missing value for \( \frac{12}{?} \)
We start with the first part of the equation:
\[ \frac{3}{5} = \frac{12}{?} \]

To find the missing denominator, we can set up a proportion:
\[ 3 \times 4 = 12 \]
This means we multiplied the numerator by 4. To keep the fractions equivalent, we must also multiply the denominator by 4:
\[ 5 \times 4 = 20 \]

So, the first box is 20:
\[ \frac{3}{5} = \frac{12}{20} \]

### Step 3: Find the missing value for \( \frac{?}{30} \)
Next, we look at the second part:
\[ \frac{12}{20} = \frac{?}{30} \]

To find the missing numerator, we can set up another proportion:
We know that \( 20 \times 1.5 = 30 \) (since \( 30 \div 20 = 1.5 \)).
Thus, we multiply the numerator by 1.5:
\[ 12 \times 1.5 = 18 \]

So, the second box is 18:
\[ \frac{12}{20} = \frac{18}{30} \]

### Step 4: Find the missing value for \( \frac{6}{?} \)
Finally, we look at the last part:
\[ \frac{18}{30} = \frac{6}{?} \]

To find the missing denominator, we can set up the proportion:
We know that \( 18 \div 3 = 6 \) (since \( 18 \div 6 = 3 \)).
Thus, we must also divide the denominator by 3:
\[ 30 \div 3 = 10 \]

So, the last box is 10:
\[ \frac{6}{10} \]

### Final Answer
Putting it all together, we have:
\[ \frac{3}{5} = \frac{12}{20} = \frac{18}{30} = \frac{6}{10} \]

### Summary of the Boxes
- First box: 20
- Second box: 18
- Third box: 10