To solve the equation \( \frac{5}{8} + 2f = 8 \), we can follow these steps using the properties of equality:
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Isolate \( 2f \): Start by subtracting \( \frac{5}{8} \) from both sides of the equation. \[ 2f = 8 - \frac{5}{8} \]
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Convert 8 to a fraction with a denominator of 8: Since \( 8 \) can be expressed as \( \frac{64}{8} \), we rewrite the equation: \[ 2f = \frac{64}{8} - \frac{5}{8} \]
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Combine the fractions: Subtract the fractions on the right-hand side. \[ 2f = \frac{64 - 5}{8} = \frac{59}{8} \]
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Isolate \( f \): Divide both sides by 2 to solve for \( f \). \[ f = \frac{59}{8} \div 2 \] This can be expressed as: \[ f = \frac{59}{16} \]
Since \( \frac{59}{16} \) is not in the options you've provided, we must look again at the options or reinterpret them. However, if the goal is to solve for \( f \):
The most accurate calculation provides \( f = \frac{59}{16} \), which is approximately 3.6875.
If you have further technical instructions regarding the options provided, please share!