The problem asks us to find the value of $t$ in the equation $\frac{7}{8} = \frac{t}{32}$.

AlgebraLinear EquationsSolving EquationsFractions
2025/3/16

1. Problem Description

The problem asks us to find the value of tt in the equation 78=t32\frac{7}{8} = \frac{t}{32}.

2. Solution Steps

To solve for tt, we can multiply both sides of the equation by 32:
78=t32\frac{7}{8} = \frac{t}{32}
3278=32t3232 \cdot \frac{7}{8} = 32 \cdot \frac{t}{32}
3278=t\frac{32 \cdot 7}{8} = t
Now we simplify the left side:
3287=t\frac{32}{8} \cdot 7 = t
47=t4 \cdot 7 = t
28=t28 = t

3. Final Answer

The value of tt is
2
8.

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