Convert ell to goad
Learn how to convert
1
ell to
goad
step by step.
Calculation Breakdown
Set up the equation
\(1.0\left(ell\right)={\color{rgb(20,165,174)} x}\left(goad\right)\)
Define the base values of the selected units in relation to the SI unit \(\left(meter\right)\)
\(\text{Left side: 1.0 } \left(ell\right) = {\color{rgb(89,182,91)} 1.143\left(meter\right)} = {\color{rgb(89,182,91)} 1.143\left(m\right)}\)
\(\text{Right side: 1.0 } \left(goad\right) = {\color{rgb(125,164,120)} 1.3716\left(meter\right)} = {\color{rgb(125,164,120)} 1.3716\left(m\right)}\)
Insert known values into the conversion equation to determine \({\color{rgb(20,165,174)} x}\)
\(1.0\left(ell\right)={\color{rgb(20,165,174)} x}\left(goad\right)\)
\(\text{Insert known values } =>\)
\(1.0 \times {\color{rgb(89,182,91)} 1.143} \times {\color{rgb(89,182,91)} \left(meter\right)} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} {\color{rgb(125,164,120)} 1.3716}} \times {\color{rgb(125,164,120)} \left(meter\right)}\)
\(\text{Or}\)
\(1.0 \cdot {\color{rgb(89,182,91)} 1.143} \cdot {\color{rgb(89,182,91)} \left(m\right)} = {\color{rgb(20,165,174)} x} \cdot {\color{rgb(125,164,120)} 1.3716} \cdot {\color{rgb(125,164,120)} \left(m\right)}\)
\(\text{Cancel SI units}\)
\(1.0 \times {\color{rgb(89,182,91)} 1.143} \cdot {\color{rgb(89,182,91)} \cancel{\left(m\right)}} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} 1.3716} \times {\color{rgb(125,164,120)} \cancel{\left(m\right)}}\)
\(\text{Conversion Equation}\)
\(1.143 = {\color{rgb(20,165,174)} x} \times 1.3716\)
Switch sides
\({\color{rgb(20,165,174)} x} \times 1.3716 = 1.143\)
Isolate \({\color{rgb(20,165,174)} x}\)
Multiply both sides by \(\left(\dfrac{1.0}{1.3716}\right)\)
\({\color{rgb(20,165,174)} x} \times 1.3716 \times \dfrac{1.0}{1.3716} = 1.143 \times \dfrac{1.0}{1.3716}\)
\(\text{Cancel}\)
\({\color{rgb(20,165,174)} x} \times {\color{rgb(255,204,153)} \cancel{1.3716}} \times \dfrac{1.0}{{\color{rgb(255,204,153)} \cancel{1.3716}}} = 1.143 \times \dfrac{1.0}{1.3716}\)
\(\text{Simplify}\)
\({\color{rgb(20,165,174)} x} = \dfrac{1.143}{1.3716}\)
Solve \({\color{rgb(20,165,174)} x}\)
\({\color{rgb(20,165,174)} x}\approx0.8333333333\approx8.3333 \times 10^{-1}\)
\(\text{Conversion Equation}\)
\(1.0\left(ell\right)\approx{\color{rgb(20,165,174)} 8.3333 \times 10^{-1}}\left(goad\right)\)
