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Complete the following equivalent fracti...

Complete the following equivalent fractions:
`48/(72)=square/(9)`

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The correct Answer is:
To solve the problem of finding the equivalent fraction for \( \frac{48}{72} = \frac{x}{9} \), we can follow these steps: ### Step 1: Understand the relationship between the fractions We know that for two fractions to be equivalent, the cross products must be equal. This means: \[ 48 \times 9 = 72 \times x \] ### Step 2: Calculate the left side of the equation Now, we can calculate \( 48 \times 9 \): \[ 48 \times 9 = 432 \] ### Step 3: Set up the equation Now we can set up the equation: \[ 432 = 72 \times x \] ### Step 4: Solve for \( x \) To find \( x \), we need to divide both sides of the equation by 72: \[ x = \frac{432}{72} \] ### Step 5: Calculate \( x \) Now we can perform the division: \[ x = 6 \] ### Step 6: Write the final answer Thus, the equivalent fraction is: \[ \frac{48}{72} = \frac{6}{9} \] So, the blank should be filled with 6.
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