m a yd convertitore - Metro a Iarda

Conversion derivation

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

1. 1

   Rewrite m in the base unit

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

   Rewrite yd in the base unit

   $$1\mathrm{yd}=0.9144\mathrm{m}$$
3. 3

   Forward conversion

   $$\begin{array}{rl}1\mathrm{m}& =\frac{1\cancel{\mathrm{m}}}{0.9144\cancel{\mathrm{m}}}\times 1\mathrm{yd}\\ & =\frac{1}{0.9144}\mathrm{yd}\\ & =1.09361329834\mathrm{yd}\end{array}$$
4. 4

   Reverse conversion

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