yd vers mile convertisseur - Yard vers Mille

Conversion derivation

Express both yd and mile 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 mile in the base unit

   $$1\mathrm{mile}=1,609.344\mathrm{m}$$
3. 3

   Forward conversion

   $$\begin{array}{rl}1\mathrm{yd}& =\frac{0.9144\cancel{\mathrm{m}}}{1,609.344\cancel{\mathrm{m}}}\times 1\mathrm{mile}\\ & =\frac{0.9144}{1,609.344}\mathrm{mile}\\ & =0.000568181818\mathrm{mile}\end{array}$$
4. 4

   Reverse conversion

   $$\begin{array}{rl}1\mathrm{mile}& =\frac{1,609.344\cancel{\mathrm{m}}}{0.9144\cancel{\mathrm{m}}}\times 1\mathrm{yd}\\ & =\frac{1,609.344}{0.9144}\mathrm{yd}\\ & =1,760\mathrm{yd}\end{array}$$