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Fill in the boxes : square/(8)=6/(24)...

Fill in the boxes :
`square/(8)=6/(24)`

A

2

B

3

C

4

D

5

Text Solution

AI Generated Solution

The correct Answer is:
To solve the equation \( \frac{x}{8} = \frac{6}{24} \), we will follow these steps: ### Step 1: Set up the equation Let the empty box be represented by \( x \). So, we have: \[ \frac{x}{8} = \frac{6}{24} \] ### Step 2: Cross-multiply To eliminate the fractions, we can cross-multiply: \[ x \cdot 24 = 6 \cdot 8 \] This simplifies to: \[ 24x = 48 \] ### Step 3: Solve for \( x \) Now, we need to isolate \( x \) by dividing both sides of the equation by 24: \[ x = \frac{48}{24} \] ### Step 4: Simplify the fraction Now we simplify \( \frac{48}{24} \): \[ x = 2 \] ### Conclusion Thus, the value of the empty box is: \[ \boxed{2} \]
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