Convert pound / fluid-ounce to pound / gallon

Learn how to convert 1 pound / fluid-ounce to pound / gallon step by step.

Calculation Breakdown

Set up the equation
1.0(poundfluidounce)=x(poundgallon)
Define the base values of the selected units in relation to the SI unit (kilogramcubic meter)
Left side: 1.0 (poundfluidounce)=5.02.95735295625×104(kilogramcubic meter)=5.02.95735295625×104(kgm3)
Right side: 1.0 (poundgallon)=5.03.785411784×102(kilogramcubic meter)=5.03.785411784×102(kgm3)
Insert known values into the conversion equation to determine x
1.0(poundfluidounce)=x(poundgallon)
Insert known values =>
1.0×5.02.95735295625×104×(kilogramcubic meter)=x×5.03.785411784×102×(kilogramcubic meter)
Or
1.05.02.95735295625×104(kgm3)=x5.03.785411784×102(kgm3)
Cancel SI units
1.0×5.02.95735295625×104(kgm3)=x×5.03.785411784×102×(kgm3)
Conversion Equation
5.02.95735295625×104=x×5.03.785411784×102
Cancel factors on both sides
Cancel factors
5.02.95735295625×104102=x×5.03.785411784×102
Simplify
1.02.95735295625×102=x×1.03.785411784
Switch sides
x×1.03.785411784=1.02.95735295625×102
Isolate x
Multiply both sides by (3.7854117841.0)
x×1.03.785411784×3.7854117841.0=1.02.95735295625×102×3.7854117841.0
Cancel
x×1.0×3.7854117843.785411784×1.0=1.0×3.7854117842.95735295625×102×1.0
Simplify
x=3.7854117842.95735295625×102
Rewrite equation
1.0102 can be rewritten to 102
Rewrite
x=102×3.7854117842.95735295625
Solve x
x=128=1.28×102
Conversion Equation
1.0(poundfluidounce)=1.28×102(poundgallon)

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