day to min Converter - Day to Minute

Conversion derivation

Express both day and min 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 min in the base unit

   $$1\min =60\mathrm{s}$$
3. 3

   Forward conversion

   $$\begin{array}{rl}1\mathrm{day}& =\frac{86,400\cancel{\mathrm{s}}}{60\cancel{\mathrm{s}}}\times 1\min \\ & =\frac{86,400}{60}\min \\ & =1,440\min \end{array}$$
4. 4

   Reverse conversion

   $$\begin{array}{rl}1\min & =\frac{60\cancel{\mathrm{s}}}{86,400\cancel{\mathrm{s}}}\times 1\mathrm{day}\\ & =\frac{60}{86,400}\mathrm{day}\\ & =0.000694444444\mathrm{day}\end{array}$$