Convert perch to ell

Learn how to convert 1 perch to ell step by step.

Calculation Breakdown

Set up the equation
$$1.0\left(perch\right)={\color{rgb(20,165,174)} x}\left(ell\right)$$
Define the base values of the selected units in relation to the SI unit $$\left(meter\right)$$
$$\text{Left side: 1.0 } \left(perch\right) = {\color{rgb(89,182,91)} 5.0292\left(meter\right)} = {\color{rgb(89,182,91)} 5.0292\left(m\right)}$$
$$\text{Right side: 1.0 } \left(ell\right) = {\color{rgb(125,164,120)} 1.143\left(meter\right)} = {\color{rgb(125,164,120)} 1.143\left(m\right)}$$
Insert known values into the conversion equation to determine $${\color{rgb(20,165,174)} x}$$
$$1.0\left(perch\right)={\color{rgb(20,165,174)} x}\left(ell\right)$$
$$\text{Insert known values } =>$$
$$1.0 \times {\color{rgb(89,182,91)} 5.0292} \times {\color{rgb(89,182,91)} \left(meter\right)} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} {\color{rgb(125,164,120)} 1.143}} \times {\color{rgb(125,164,120)} \left(meter\right)}$$
$$\text{Or}$$
$$1.0 \cdot {\color{rgb(89,182,91)} 5.0292} \cdot {\color{rgb(89,182,91)} \left(m\right)} = {\color{rgb(20,165,174)} x} \cdot {\color{rgb(125,164,120)} 1.143} \cdot {\color{rgb(125,164,120)} \left(m\right)}$$
$$\text{Cancel SI units}$$
$$1.0 \times {\color{rgb(89,182,91)} 5.0292} \cdot {\color{rgb(89,182,91)} \cancel{\left(m\right)}} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} 1.143} \times {\color{rgb(125,164,120)} \cancel{\left(m\right)}}$$
$$\text{Conversion Equation}$$
$$5.0292 = {\color{rgb(20,165,174)} x} \times 1.143$$
Switch sides
$${\color{rgb(20,165,174)} x} \times 1.143 = 5.0292$$
Isolate $${\color{rgb(20,165,174)} x}$$
Multiply both sides by $$\left(\dfrac{1.0}{1.143}\right)$$
$${\color{rgb(20,165,174)} x} \times 1.143 \times \dfrac{1.0}{1.143} = 5.0292 \times \dfrac{1.0}{1.143}$$
$$\text{Cancel}$$
$${\color{rgb(20,165,174)} x} \times {\color{rgb(255,204,153)} \cancel{1.143}} \times \dfrac{1.0}{{\color{rgb(255,204,153)} \cancel{1.143}}} = 5.0292 \times \dfrac{1.0}{1.143}$$
$$\text{Simplify}$$
$${\color{rgb(20,165,174)} x} = \dfrac{5.0292}{1.143}$$
Solve $${\color{rgb(20,165,174)} x}$$
$${\color{rgb(20,165,174)} x} = 4.4$$
$$\text{Conversion Equation}$$
$$1.0\left(perch\right) = {\color{rgb(20,165,174)} 4.4}\left(ell\right)$$