day a week convertidor - Día a Semana

Conversion derivation

Express both day and week in the same base unit s (second), then cancel the shared base unit.

1. 1

   Rewrite day in the base unit

   $$1\mathrm{day}=86,400\mathrm{s}$$
2. 2

   Rewrite week in the base unit

   $$1\mathrm{week}=604,800\mathrm{s}$$
3. 3

   Forward conversion

   $$\begin{array}{rl}1\mathrm{day}& =\frac{86,400\cancel{\mathrm{s}}}{604,800\cancel{\mathrm{s}}}\times 1\mathrm{week}\\ & =\frac{86,400}{604,800}\mathrm{week}\\ & =0.142857142857\mathrm{week}\end{array}$$
4. 4

   Reverse conversion

   $$\begin{array}{rl}1\mathrm{week}& =\frac{604,800\cancel{\mathrm{s}}}{86,400\cancel{\mathrm{s}}}\times 1\mathrm{day}\\ & =\frac{604,800}{86,400}\mathrm{day}\\ & =7\mathrm{day}\end{array}$$