yd to km Converter - Yard to Kilometer

Conversion derivation

Express both yd and km in the same base unit m (meter), then cancel the shared base unit.

1. 1

   Rewrite yd in the base unit

   $$1\mathrm{yd}=0.9144\mathrm{m}$$
2. 2

   Rewrite km in the base unit

   $$1\mathrm{km}=1,000\mathrm{m}$$
3. 3

   Forward conversion

   $$\begin{array}{rl}1\mathrm{yd}& =\frac{0.9144\cancel{\mathrm{m}}}{1,000\cancel{\mathrm{m}}}\times 1\mathrm{km}\\ & =\frac{0.9144}{1,000}\mathrm{km}\\ & =0.0009144\mathrm{km}\end{array}$$
4. 4

   Reverse conversion

   $$\begin{array}{rl}1\mathrm{km}& =\frac{1,000\cancel{\mathrm{m}}}{0.9144\cancel{\mathrm{m}}}\times 1\mathrm{yd}\\ & =\frac{1,000}{0.9144}\mathrm{yd}\\ & =1,093.61329834\mathrm{yd}\end{array}$$