0. d. Find what fractional part \( 2 \mathrm{ft} \).6 in . is of \( 5 \mathrm{yd} \cdot\left(\frac{1}{6}\right) \)
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To find what fractional part \( 2 \mathrm{ft}.6 \mathrm{in} \) is of \( 5 \mathrm{yd} \cdot \left(\frac{1}{6}\right) \), we first need to convert both measurements to the same unit. 1. Convert \( 5 \mathrm{yd} \) to inches: \[ 5 \mathrm{yd} = 5 \times 36 \mathrm{in} = 180 \mathrm{in} \] Then, calculate: \[ 5 \mathrm{yd} \cdot \left(\frac{1}{6}\right) = \frac{180 \mathrm{in}}{6} = 30 \mathrm{in} \] 2. Convert \( 2 \mathrm{ft}.6 \mathrm{in} \) to inches: \[ 2 \mathrm{ft} = 2 \times 12 \mathrm{in} = 24 \mathrm{in} \] So, \[ 2 \mathrm{ft}.6 \mathrm{in} = 24 \mathrm{in} + 6 \mathrm{in} = 30 \mathrm{in} \] Now we find the fractional part: \[ \text{Fractional part} = \frac{2 \mathrm{ft}.6 \mathrm{in}}{5 \mathrm{yd} \cdot \left(\frac{1}{6}\right)} = \frac{30 \mathrm{in}}{30 \mathrm{in}} = 1 \] Therefore, \( 2 \mathrm{ft}.6 \mathrm{in} \) is \(\boxed{1}\) or 100% of \( 5 \mathrm{yd} \cdot \left(\frac{1}{6}\right) \).