h a day convertidor - Hora a Día

Conversion derivation

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

1. 1

   Rewrite h in the base unit

   $$1\mathrm{h}=3,600\mathrm{s}$$
2. 2

   Rewrite day in the base unit

   $$1\mathrm{day}=86,400\mathrm{s}$$
3. 3

   Forward conversion

   $$\begin{array}{rl}1\mathrm{h}& =\frac{3,600\cancel{\mathrm{s}}}{86,400\cancel{\mathrm{s}}}\times 1\mathrm{day}\\ & =\frac{3,600}{86,400}\mathrm{day}\\ & =0.041666666667\mathrm{day}\end{array}$$
4. 4

   Reverse conversion

   $$\begin{array}{rl}1\mathrm{day}& =\frac{86,400\cancel{\mathrm{s}}}{3,600\cancel{\mathrm{s}}}\times 1\mathrm{h}\\ & =\frac{86,400}{3,600}\mathrm{h}\\ & =24\mathrm{h}\end{array}$$