Questions: Type the missing number that makes these fractions equal: 2/□ = 1/4

$Type the missing number that makes these fractions equal: 2/□ = 1/4$

Transcript text: Type the missing number that makes these fractions equal: \[ \frac{2}{\square}=\frac{1}{4} \]

Solution

Solution Steps

Step 1: Set up the equation

Given the equation: \[ \frac{2}{\square} = \frac{1}{4} \] Let the missing number be $ x $. Rewrite the equation as: \[ \frac{2}{x} = \frac{1}{4} \]

Step 2: Cross-multiply to solve for $ x $

Cross-multiply the fractions to solve for $ x $: \[ 2 \cdot 4 = 1 \cdot x \] \[ 8 = x \]

Step 3: Verify the solution

Substitute $ x = 8 $ back into the original equation to verify: \[ \frac{2}{8} = \frac{1}{4} \] This simplifies to: \[ \frac{1}{4} = \frac{1}{4} \] The equation holds true, confirming that $ x = 8 $ is the correct solution.

Final Answer

$\boxed{8}$

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