# Convert mile / (hour • minute) to inch / (hour • minute)

Learn how to convert 1 mile / (hour • minute) to inch / (hour • minute) step by step.

## Calculation Breakdown

Set up the equation
$$1.0\left(\dfrac{mile}{hour \times minute}\right)={\color{rgb(20,165,174)} x}\left(\dfrac{inch}{hour \times minute}\right)$$
Define the base values of the selected units in relation to the SI unit $$\left(\dfrac{meter}{square \text{ } second}\right)$$
$$\text{Left side: 1.0 } \left(\dfrac{mile}{hour \times minute}\right) = {\color{rgb(89,182,91)} \dfrac{1609.344}{2.16 \times 10^{5}}\left(\dfrac{meter}{square \text{ } second}\right)} = {\color{rgb(89,182,91)} \dfrac{1609.344}{2.16 \times 10^{5}}\left(\dfrac{m}{s^{2}}\right)}$$
$$\text{Right side: 1.0 } \left(\dfrac{inch}{hour \times minute}\right) = {\color{rgb(125,164,120)} \dfrac{0.0254}{2.16 \times 10^{5}}\left(\dfrac{meter}{square \text{ } second}\right)} = {\color{rgb(125,164,120)} \dfrac{0.0254}{2.16 \times 10^{5}}\left(\dfrac{m}{s^{2}}\right)}$$
Insert known values into the conversion equation to determine $${\color{rgb(20,165,174)} x}$$
$$1.0\left(\dfrac{mile}{hour \times minute}\right)={\color{rgb(20,165,174)} x}\left(\dfrac{inch}{hour \times minute}\right)$$
$$\text{Insert known values } =>$$
$$1.0 \times {\color{rgb(89,182,91)} \dfrac{1609.344}{2.16 \times 10^{5}}} \times {\color{rgb(89,182,91)} \left(\dfrac{meter}{square \text{ } second}\right)} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} {\color{rgb(125,164,120)} \dfrac{0.0254}{2.16 \times 10^{5}}}} \times {\color{rgb(125,164,120)} \left(\dfrac{meter}{square \text{ } second}\right)}$$
$$\text{Or}$$
$$1.0 \cdot {\color{rgb(89,182,91)} \dfrac{1609.344}{2.16 \times 10^{5}}} \cdot {\color{rgb(89,182,91)} \left(\dfrac{m}{s^{2}}\right)} = {\color{rgb(20,165,174)} x} \cdot {\color{rgb(125,164,120)} \dfrac{0.0254}{2.16 \times 10^{5}}} \cdot {\color{rgb(125,164,120)} \left(\dfrac{m}{s^{2}}\right)}$$
$$\text{Cancel SI units}$$
$$1.0 \times {\color{rgb(89,182,91)} \dfrac{1609.344}{2.16 \times 10^{5}}} \cdot {\color{rgb(89,182,91)} \cancel{\left(\dfrac{m}{s^{2}}\right)}} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} \dfrac{0.0254}{2.16 \times 10^{5}}} \times {\color{rgb(125,164,120)} \cancel{\left(\dfrac{m}{s^{2}}\right)}}$$
$$\text{Conversion Equation}$$
$$\dfrac{1609.344}{2.16 \times 10^{5}} = {\color{rgb(20,165,174)} x} \times \dfrac{0.0254}{2.16 \times 10^{5}}$$
Cancel factors on both sides
$$\text{Cancel factors}$$
$$\dfrac{1609.344}{{\color{rgb(255,204,153)} \cancel{2.16}} \times {\color{rgb(99,194,222)} \cancel{10^{5}}}} = {\color{rgb(20,165,174)} x} \times \dfrac{0.0254}{{\color{rgb(255,204,153)} \cancel{2.16}} \times {\color{rgb(99,194,222)} \cancel{10^{5}}}}$$
$$\text{Simplify}$$
$$1609.344 = {\color{rgb(20,165,174)} x} \times 0.0254$$
Switch sides
$${\color{rgb(20,165,174)} x} \times 0.0254 = 1609.344$$
Isolate $${\color{rgb(20,165,174)} x}$$
Multiply both sides by $$\left(\dfrac{1.0}{0.0254}\right)$$
$${\color{rgb(20,165,174)} x} \times 0.0254 \times \dfrac{1.0}{0.0254} = 1609.344 \times \dfrac{1.0}{0.0254}$$
$$\text{Cancel}$$
$${\color{rgb(20,165,174)} x} \times {\color{rgb(255,204,153)} \cancel{0.0254}} \times \dfrac{1.0}{{\color{rgb(255,204,153)} \cancel{0.0254}}} = 1609.344 \times \dfrac{1.0}{0.0254}$$
$$\text{Simplify}$$
$${\color{rgb(20,165,174)} x} = \dfrac{1609.344}{0.0254}$$
Solve $${\color{rgb(20,165,174)} x}$$
$${\color{rgb(20,165,174)} x} = 63360 = 6.336 \times 10^{4}$$
$$\text{Conversion Equation}$$
$$1.0\left(\dfrac{mile}{hour \times minute}\right) = {\color{rgb(20,165,174)} 6.336 \times 10^{4}}\left(\dfrac{inch}{hour \times minute}\right)$$