Questions: 6/8 = /80

6/8 = /80
Transcript text: \[ \frac{6}{8}=\frac{}{80} \]
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Solution

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Solution Steps

To find the equivalent fraction, we need to determine the value that makes the two fractions equal. We can do this by setting up a proportion and solving for the unknown numerator.

Step 1: Set Up the Proportion

We start with the given fractions: \[ \frac{6}{8} = \frac{x}{80} \]

Step 2: Cross-Multiply to Solve for \( x \)

To find the unknown numerator \( x \), we cross-multiply: \[ 6 \times 80 = 8 \times x \]

Step 3: Simplify the Equation

Simplify the equation to solve for \( x \): \[ 480 = 8x \]

Step 4: Solve for \( x \)

Divide both sides by 8: \[ x = \frac{480}{8} = 60 \]

Final Answer

The equivalent fraction is: \[ \frac{6}{8} = \frac{60}{80} \] \(\boxed{60}\)

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