To solve for \( c \) in the equation
\[ \frac{3}{4}c = \frac{3}{8} \]
we can first eliminate the fraction by multiplying both sides of the equation by 4:
\[ 4 \cdot \left(\frac{3}{4}c\right) = 4 \cdot \left(\frac{3}{8}\right) \]
This simplifies to:
\[ 3c = \frac{3 \cdot 4}{8} \]
Calculating the right side:
\[ \frac{3 \cdot 4}{8} = \frac{12}{8} = \frac{3}{2} \]
So we have:
\[ 3c = \frac{3}{2} \]
Next, divide both sides by 3 to solve for \( c \):
\[ c = \frac{\frac{3}{2}}{3} = \frac{3}{2} \cdot \frac{1}{3} = \frac{3}{6} = \frac{1}{2} \]
Thus,
\[ c = \frac{1}{2} \]
The solution is
\[ c = \frac{1}{2} \]