To solve for the blank in the equation \( \frac{8}{12} \times \text{blank} = \frac{64}{96} \), we first simplify both fractions.
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Simplify \( \frac{8}{12} \): \[ \frac{8}{12} = \frac{2}{3} \]
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Simplify \( \frac{64}{96} \): \[ \frac{64}{96} = \frac{2}{3} \quad (\text{both are divisible by } 32) \]
Thus, the equation simplifies to: \[ \frac{2}{3} \times \text{blank} = \frac{2}{3} \]
- To isolate the blank, we can multiply both sides by the reciprocal of \( \frac{2}{3} \): \[ \text{blank} = \frac{2}{3} \div \frac{2}{3} = 1 \]
Therefore, the blank equals \( 1 \).