# Convert ligne to ri(里)

Learn how to convert 1 ligne to ri(里) step by step.

## Calculation Breakdown

Set up the equation
$$1.0\left(ligne\right)={\color{rgb(20,165,174)} x}\left(ri(里)\right)$$
Define the base values of the selected units in relation to the SI unit $$\left(meter\right)$$
$$\text{Left side: 1.0 } \left(ligne\right) = {\color{rgb(89,182,91)} 2.256 \times 10^{-3}\left(meter\right)} = {\color{rgb(89,182,91)} 2.256 \times 10^{-3}\left(m\right)}$$
$$\text{Right side: 1.0 } \left(ri(里)\right) = {\color{rgb(125,164,120)} \dfrac{4.32 \times 10^{4}}{11.0}\left(meter\right)} = {\color{rgb(125,164,120)} \dfrac{4.32 \times 10^{4}}{11.0}\left(m\right)}$$
Insert known values into the conversion equation to determine $${\color{rgb(20,165,174)} x}$$
$$1.0\left(ligne\right)={\color{rgb(20,165,174)} x}\left(ri(里)\right)$$
$$\text{Insert known values } =>$$
$$1.0 \times {\color{rgb(89,182,91)} 2.256 \times 10^{-3}} \times {\color{rgb(89,182,91)} \left(meter\right)} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} {\color{rgb(125,164,120)} \dfrac{4.32 \times 10^{4}}{11.0}}} \times {\color{rgb(125,164,120)} \left(meter\right)}$$
$$\text{Or}$$
$$1.0 \cdot {\color{rgb(89,182,91)} 2.256 \times 10^{-3}} \cdot {\color{rgb(89,182,91)} \left(m\right)} = {\color{rgb(20,165,174)} x} \cdot {\color{rgb(125,164,120)} \dfrac{4.32 \times 10^{4}}{11.0}} \cdot {\color{rgb(125,164,120)} \left(m\right)}$$
$$\text{Cancel SI units}$$
$$1.0 \times {\color{rgb(89,182,91)} 2.256 \times 10^{-3}} \cdot {\color{rgb(89,182,91)} \cancel{\left(m\right)}} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} \dfrac{4.32 \times 10^{4}}{11.0}} \times {\color{rgb(125,164,120)} \cancel{\left(m\right)}}$$
$$\text{Conversion Equation}$$
$$2.256 \times 10^{-3} = {\color{rgb(20,165,174)} x} \times \dfrac{4.32 \times 10^{4}}{11.0}$$
Switch sides
$${\color{rgb(20,165,174)} x} \times \dfrac{4.32 \times 10^{4}}{11.0} = 2.256 \times 10^{-3}$$
Isolate $${\color{rgb(20,165,174)} x}$$
Multiply both sides by $$\left(\dfrac{11.0}{4.32 \times 10^{4}}\right)$$
$${\color{rgb(20,165,174)} x} \times \dfrac{4.32 \times 10^{4}}{11.0} \times \dfrac{11.0}{4.32 \times 10^{4}} = 2.256 \times 10^{-3} \times \dfrac{11.0}{4.32 \times 10^{4}}$$
$$\text{Cancel}$$
$${\color{rgb(20,165,174)} x} \times \dfrac{{\color{rgb(255,204,153)} \cancel{4.32}} \times {\color{rgb(99,194,222)} \cancel{10^{4}}} \times {\color{rgb(166,218,227)} \cancel{11.0}}}{{\color{rgb(166,218,227)} \cancel{11.0}} \times {\color{rgb(255,204,153)} \cancel{4.32}} \times {\color{rgb(99,194,222)} \cancel{10^{4}}}} = 2.256 \times 10^{-3} \times \dfrac{11.0}{4.32 \times 10^{4}}$$
$$\text{Simplify}$$
$${\color{rgb(20,165,174)} x} = \dfrac{2.256 \times 10^{-3} \times 11.0}{4.32 \times 10^{4}}$$
Rewrite equation
$$\dfrac{1.0}{10^{4}}\text{ can be rewritten to }10^{-4}$$
$$\text{Rewrite}$$
$${\color{rgb(20,165,174)} x} = \dfrac{10^{-4} \times 2.256 \times 10^{-3} \times 11.0}{4.32}$$
$$\text{Simplify}$$
$${\color{rgb(20,165,174)} x} = \dfrac{10^{-7} \times 2.256 \times 11.0}{4.32}$$
Solve $${\color{rgb(20,165,174)} x}$$
$${\color{rgb(20,165,174)} x}\approx0.0000005744\approx5.7444 \times 10^{-7}$$
$$\text{Conversion Equation}$$
$$1.0\left(ligne\right)\approx{\color{rgb(20,165,174)} 5.7444 \times 10^{-7}}\left(ri(里)\right)$$