Convert cup to gallon

Learn how to convert 1 cup to gallon step by step.

Calculation Breakdown

Set up the equation
1.0(cup)=x(gallon)
Define the base values of the selected units in relation to the SI unit (cubic meter)
Left side: 1.0 (cup)=2.84130625×104(cubic meter)=2.84130625×104(m3)
Right side: 1.0 (gallon)=4.5424941408×103(cubic meter)=4.5424941408×103(m3)
Insert known values into the conversion equation to determine x
1.0(cup)=x(gallon)
Insert known values =>
1.0×2.84130625×104×(cubic meter)=x×4.5424941408×103×(cubic meter)
Or
1.02.84130625×104(m3)=x4.5424941408×103(m3)
Cancel SI units
1.0×2.84130625×104(m3)=x×4.5424941408×103×(m3)
Conversion Equation
2.84130625×104=x×4.5424941408×103
Cancel factors on both sides
Cancel factors
2.84130625×104101=x×4.5424941408×103
Simplify
2.84130625×101=x×4.5424941408
Switch sides
x×4.5424941408=2.84130625×101
Isolate x
Multiply both sides by (1.04.5424941408)
x×4.5424941408×1.04.5424941408=2.84130625×101×1.04.5424941408
Cancel
x×4.5424941408×1.04.5424941408=2.84130625×101×1.04.5424941408
Simplify
x=2.84130625×1014.5424941408
Solve x
x0.06254947536.2549×102
Conversion Equation
1.0(cup)6.2549×102(gallon)

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