Fill in the boxes :
`4/(square)=28/(35)`

Options

A. 5
B. 6
C. 7
D. 8

Answer

To solve the equation \( \frac{4}{\text{box}} = \frac{28}{35} \), we will follow these steps:

### Step 1: Set Up the Equation
Let the empty box be represented by \( x \). Therefore, we can rewrite the equation as:
\[ \frac{4}{x} = \frac{28}{35} \]

### Step 2: Cross Multiply
To eliminate the fractions, we will cross multiply. This means we will multiply the numerator of one fraction by the denominator of the other fraction:
\[ 4 \times 35 = 28 \times x \]

### Step 3: Calculate the Left Side
Now, calculate \( 4 \times 35 \):
\[ 4 \times 35 = 140 \]
So, we have:
\[ 140 = 28x \]

### Step 4: Solve for \( x \)
Now, we need to isolate \( x \). To do this, divide both sides of the equation by 28:
\[ x = \frac{140}{28} \]

### Step 5: Simplify the Fraction
Now, simplify \( \frac{140}{28} \):
\[ \frac{140}{28} = 5 \]

### Final Answer
Thus, the value of the empty box \( x \) is:
\[ \text{box} = 5 \]

### Summary
The final equation is:
\[ \frac{4}{5} = \frac{28}{35} \]