To determine the unit rate of ribbon to fabric, we need to identify how much ribbon Lenny buys for each yard of fabric.
Lenny buys \( \frac{5}{8} \) yards of ribbon for every 2 yards of fabric. To find the ribbon per yard of fabric, we can set up the following ratio:
\[ \text{Ribbon per yard of fabric} = \frac{5/8 \text{ yd of ribbon}}{2 \text{ yd of fabric}} \]
Next, we divide the number of yards of ribbon by the number of yards of fabric:
\[ \text{Ribbon per yard of fabric} = \frac{5/8}{2} = \frac{5/8}{2/1} = \frac{5}{8} \times \frac{1}{2} = \frac{5}{16} \]
Thus, the unit rate of ribbon to fabric is \( \frac{5}{16} \) yards of ribbon for every yard of fabric.