Convert gallon to bushel
Learn how to convert
1
gallon to
bushel
step by step.
Calculation Breakdown
Set up the equation
\(1.0\left(gallon\right)={\color{rgb(20,165,174)} x}\left(bushel\right)\)
Define the base values of the selected units in relation to the SI unit \(\left(cubic \text{ } meter\right)\)
\(\text{Left side: 1.0 } \left(gallon\right) = {\color{rgb(89,182,91)} 4.40488377086 \times 10^{-3}\left(cubic \text{ } meter\right)} = {\color{rgb(89,182,91)} 4.40488377086 \times 10^{-3}\left(m^{3}\right)}\)
\(\text{Right side: 1.0 } \left(bushel\right) = {\color{rgb(125,164,120)} 4.40488377086 \times 10^{-2}\left(cubic \text{ } meter\right)} = {\color{rgb(125,164,120)} 4.40488377086 \times 10^{-2}\left(m^{3}\right)}\)
Insert known values into the conversion equation to determine \({\color{rgb(20,165,174)} x}\)
\(1.0\left(gallon\right)={\color{rgb(20,165,174)} x}\left(bushel\right)\)
\(\text{Insert known values } =>\)
\(1.0 \times {\color{rgb(89,182,91)} 4.40488377086 \times 10^{-3}} \times {\color{rgb(89,182,91)} \left(cubic \text{ } meter\right)} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} {\color{rgb(125,164,120)} 4.40488377086 \times 10^{-2}}} \times {\color{rgb(125,164,120)} \left(cubic \text{ } meter\right)}\)
\(\text{Or}\)
\(1.0 \cdot {\color{rgb(89,182,91)} 4.40488377086 \times 10^{-3}} \cdot {\color{rgb(89,182,91)} \left(m^{3}\right)} = {\color{rgb(20,165,174)} x} \cdot {\color{rgb(125,164,120)} 4.40488377086 \times 10^{-2}} \cdot {\color{rgb(125,164,120)} \left(m^{3}\right)}\)
\(\text{Cancel SI units}\)
\(1.0 \times {\color{rgb(89,182,91)} 4.40488377086 \times 10^{-3}} \cdot {\color{rgb(89,182,91)} \cancel{\left(m^{3}\right)}} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} 4.40488377086 \times 10^{-2}} \times {\color{rgb(125,164,120)} \cancel{\left(m^{3}\right)}}\)
\(\text{Conversion Equation}\)
\(4.40488377086 \times 10^{-3} = {\color{rgb(20,165,174)} x} \times 4.40488377086 \times 10^{-2}\)
Cancel factors on both sides
\(\text{Cancel factors}\)
\({\color{rgb(255,204,153)} \cancel{4.40488377086}} \times {\color{rgb(99,194,222)} \cancelto{10^{-1}}{10^{-3}}} = {\color{rgb(20,165,174)} x} \times {\color{rgb(255,204,153)} \cancel{4.40488377086}} \times {\color{rgb(99,194,222)} \cancel{10^{-2}}}\)
\(\text{Simplify}\)
\(10^{-1} = {\color{rgb(20,165,174)} x}\)
Switch sides
\({\color{rgb(20,165,174)} x} = 10^{-1}\)
Solve \({\color{rgb(20,165,174)} x}\)
\({\color{rgb(20,165,174)} x} = 10^{-1}\)
\(\text{Conversion Equation}\)
\(1.0\left(gallon\right) = {\color{rgb(20,165,174)} 10^{-1}}\left(bushel\right)\)
