Convert fall to caballeria

Learn how to convert 1 fall to caballeria step by step.

Calculation Breakdown

Set up the equation
\(1.0\left(fall\right)={\color{rgb(20,165,174)} x}\left(caballeria\right)\)
Define the base values of the selected units in relation to the SI unit \(\left(square \text{ } meter\right)\)
\(\text{Left side: 1.0 } \left(fall\right) = {\color{rgb(89,182,91)} 47.03\left(square \text{ } meter\right)} = {\color{rgb(89,182,91)} 47.03\left(m^{2}\right)}\)
\(\text{Right side: 1.0 } \left(caballeria\right) = {\color{rgb(125,164,120)} 4047.0\left(square \text{ } meter\right)} = {\color{rgb(125,164,120)} 4047.0\left(m^{2}\right)}\)
Insert known values into the conversion equation to determine \({\color{rgb(20,165,174)} x}\)
\(1.0\left(fall\right)={\color{rgb(20,165,174)} x}\left(caballeria\right)\)
\(\text{Insert known values } =>\)
\(1.0 \times {\color{rgb(89,182,91)} 47.03} \times {\color{rgb(89,182,91)} \left(square \text{ } meter\right)} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} {\color{rgb(125,164,120)} 4047.0}} \times {\color{rgb(125,164,120)} \left(square \text{ } meter\right)}\)
\(\text{Or}\)
\(1.0 \cdot {\color{rgb(89,182,91)} 47.03} \cdot {\color{rgb(89,182,91)} \left(m^{2}\right)} = {\color{rgb(20,165,174)} x} \cdot {\color{rgb(125,164,120)} 4047.0} \cdot {\color{rgb(125,164,120)} \left(m^{2}\right)}\)
\(\text{Cancel SI units}\)
\(1.0 \times {\color{rgb(89,182,91)} 47.03} \cdot {\color{rgb(89,182,91)} \cancel{\left(m^{2}\right)}} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} 4047.0} \times {\color{rgb(125,164,120)} \cancel{\left(m^{2}\right)}}\)
\(\text{Conversion Equation}\)
\(47.03 = {\color{rgb(20,165,174)} x} \times 4047.0\)
Switch sides
\({\color{rgb(20,165,174)} x} \times 4047.0 = 47.03\)
Isolate \({\color{rgb(20,165,174)} x}\)
Multiply both sides by \(\left(\dfrac{1.0}{4047.0}\right)\)
\({\color{rgb(20,165,174)} x} \times 4047.0 \times \dfrac{1.0}{4047.0} = 47.03 \times \dfrac{1.0}{4047.0}\)
\(\text{Cancel}\)
\({\color{rgb(20,165,174)} x} \times {\color{rgb(255,204,153)} \cancel{4047.0}} \times \dfrac{1.0}{{\color{rgb(255,204,153)} \cancel{4047.0}}} = 47.03 \times \dfrac{1.0}{4047.0}\)
\(\text{Simplify}\)
\({\color{rgb(20,165,174)} x} = \dfrac{47.03}{4047.0}\)
Solve \({\color{rgb(20,165,174)} x}\)
\({\color{rgb(20,165,174)} x}\approx0.0116209538\approx1.1621 \times 10^{-2}\)
\(\text{Conversion Equation}\)
\(1.0\left(fall\right)\approx{\color{rgb(20,165,174)} 1.1621 \times 10^{-2}}\left(caballeria\right)\)

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