Convert goad to quarter
Learn how to convert
1
goad to
quarter
step by step.
Calculation Breakdown
Set up the equation
\(1.0\left(goad\right)={\color{rgb(20,165,174)} x}\left(quarter\right)\)
Define the base values of the selected units in relation to the SI unit \(\left(meter\right)\)
\(\text{Left side: 1.0 } \left(goad\right) = {\color{rgb(89,182,91)} 1.3716\left(meter\right)} = {\color{rgb(89,182,91)} 1.3716\left(m\right)}\)
\(\text{Right side: 1.0 } \left(quarter\right) = {\color{rgb(125,164,120)} 402.336\left(meter\right)} = {\color{rgb(125,164,120)} 402.336\left(m\right)}\)
Insert known values into the conversion equation to determine \({\color{rgb(20,165,174)} x}\)
\(1.0\left(goad\right)={\color{rgb(20,165,174)} x}\left(quarter\right)\)
\(\text{Insert known values } =>\)
\(1.0 \times {\color{rgb(89,182,91)} 1.3716} \times {\color{rgb(89,182,91)} \left(meter\right)} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} {\color{rgb(125,164,120)} 402.336}} \times {\color{rgb(125,164,120)} \left(meter\right)}\)
\(\text{Or}\)
\(1.0 \cdot {\color{rgb(89,182,91)} 1.3716} \cdot {\color{rgb(89,182,91)} \left(m\right)} = {\color{rgb(20,165,174)} x} \cdot {\color{rgb(125,164,120)} 402.336} \cdot {\color{rgb(125,164,120)} \left(m\right)}\)
\(\text{Cancel SI units}\)
\(1.0 \times {\color{rgb(89,182,91)} 1.3716} \cdot {\color{rgb(89,182,91)} \cancel{\left(m\right)}} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} 402.336} \times {\color{rgb(125,164,120)} \cancel{\left(m\right)}}\)
\(\text{Conversion Equation}\)
\(1.3716 = {\color{rgb(20,165,174)} x} \times 402.336\)
Switch sides
\({\color{rgb(20,165,174)} x} \times 402.336 = 1.3716\)
Isolate \({\color{rgb(20,165,174)} x}\)
Multiply both sides by \(\left(\dfrac{1.0}{402.336}\right)\)
\({\color{rgb(20,165,174)} x} \times 402.336 \times \dfrac{1.0}{402.336} = 1.3716 \times \dfrac{1.0}{402.336}\)
\(\text{Cancel}\)
\({\color{rgb(20,165,174)} x} \times {\color{rgb(255,204,153)} \cancel{402.336}} \times \dfrac{1.0}{{\color{rgb(255,204,153)} \cancel{402.336}}} = 1.3716 \times \dfrac{1.0}{402.336}\)
\(\text{Simplify}\)
\({\color{rgb(20,165,174)} x} = \dfrac{1.3716}{402.336}\)
Solve \({\color{rgb(20,165,174)} x}\)
\({\color{rgb(20,165,174)} x}\approx0.0034090909\approx3.4091 \times 10^{-3}\)
\(\text{Conversion Equation}\)
\(1.0\left(goad\right)\approx{\color{rgb(20,165,174)} 3.4091 \times 10^{-3}}\left(quarter\right)\)
