Convert ounce / fluid-ounce to gram / fluid-ounce
Learn how to convert
1
ounce / fluid-ounce to
gram / fluid-ounce
step by step.
Calculation Breakdown
Set up the equation
\(1.0\left(\dfrac{ounce}{fluid-ounce}\right)={\color{rgb(20,165,174)} x}\left(\dfrac{gram}{fluid-ounce}\right)\)
Define the base values of the selected units in relation to the SI unit \(\left(\dfrac{{\color{rgb(230,179,255)} kilo}gram}{cubic \text{ } meter}\right)\)
\(\text{Left side: 1.0 } \left(\dfrac{ounce}{fluid-ounce}\right) = {\color{rgb(89,182,91)} \dfrac{2.8349523125}{2.84130625 \times 10^{-3}}\left(\dfrac{{\color{rgb(230,179,255)} kilo}gram}{cubic \text{ } meter}\right)} = {\color{rgb(89,182,91)} \dfrac{2.8349523125}{2.84130625 \times 10^{-3}}\left(\dfrac{{\color{rgb(230,179,255)} k}g}{m^{3}}\right)}\)
\(\text{Right side: 1.0 } \left(\dfrac{gram}{fluid-ounce}\right) = {\color{rgb(125,164,120)} \dfrac{1.0}{2.84130625 \times 10^{-2}}\left(\dfrac{{\color{rgb(230,179,255)} kilo}gram}{cubic \text{ } meter}\right)} = {\color{rgb(125,164,120)} \dfrac{1.0}{2.84130625 \times 10^{-2}}\left(\dfrac{{\color{rgb(230,179,255)} k}g}{m^{3}}\right)}\)
Insert known values into the conversion equation to determine \({\color{rgb(20,165,174)} x}\)
\(1.0\left(\dfrac{ounce}{fluid-ounce}\right)={\color{rgb(20,165,174)} x}\left(\dfrac{gram}{fluid-ounce}\right)\)
\(\text{Insert known values } =>\)
\(1.0 \times {\color{rgb(89,182,91)} \dfrac{2.8349523125}{2.84130625 \times 10^{-3}}} \times {\color{rgb(89,182,91)} \left(\dfrac{{\color{rgb(230,179,255)} kilo}gram}{cubic \text{ } meter}\right)} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} {\color{rgb(125,164,120)} \dfrac{1.0}{2.84130625 \times 10^{-2}}}} \times {\color{rgb(125,164,120)} \left(\dfrac{{\color{rgb(230,179,255)} kilo}gram}{cubic \text{ } meter}\right)}\)
\(\text{Or}\)
\(1.0 \cdot {\color{rgb(89,182,91)} \dfrac{2.8349523125}{2.84130625 \times 10^{-3}}} \cdot {\color{rgb(89,182,91)} \left(\dfrac{{\color{rgb(230,179,255)} k}g}{m^{3}}\right)} = {\color{rgb(20,165,174)} x} \cdot {\color{rgb(125,164,120)} \dfrac{1.0}{2.84130625 \times 10^{-2}}} \cdot {\color{rgb(125,164,120)} \left(\dfrac{{\color{rgb(230,179,255)} k}g}{m^{3}}\right)}\)
\(\text{Cancel SI units}\)
\(1.0 \times {\color{rgb(89,182,91)} \dfrac{2.8349523125}{2.84130625 \times 10^{-3}}} \cdot {\color{rgb(89,182,91)} \cancel{\left(\dfrac{{\color{rgb(230,179,255)} k}g}{m^{3}}\right)}} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} \dfrac{1.0}{2.84130625 \times 10^{-2}}} \times {\color{rgb(125,164,120)} \cancel{\left(\dfrac{{\color{rgb(230,179,255)} k}g}{m^{3}}\right)}}\)
\(\text{Conversion Equation}\)
\(\dfrac{2.8349523125}{2.84130625 \times 10^{-3}} = {\color{rgb(20,165,174)} x} \times \dfrac{1.0}{2.84130625 \times 10^{-2}}\)
Cancel factors on both sides
\(\text{Cancel factors}\)
\(\dfrac{2.8349523125}{{\color{rgb(255,204,153)} \cancel{2.84130625}} \times {\color{rgb(99,194,222)} \cancelto{10^{-1}}{10^{-3}}}} = {\color{rgb(20,165,174)} x} \times \dfrac{1.0}{{\color{rgb(255,204,153)} \cancel{2.84130625}} \times {\color{rgb(99,194,222)} \cancel{10^{-2}}}}\)
\(\text{Simplify}\)
\(\dfrac{2.8349523125}{10^{-1}} = {\color{rgb(20,165,174)} x}\)
Switch sides
\({\color{rgb(20,165,174)} x} = \dfrac{2.8349523125}{10^{-1}}\)
Rewrite equation
\(\dfrac{1.0}{10^{-1}}\text{ can be rewritten to }10\)
\(\text{Rewrite}\)
\({\color{rgb(20,165,174)} x} = 10.0 \times 2.8349523125\)
Solve \({\color{rgb(20,165,174)} x}\)
\({\color{rgb(20,165,174)} x} = 28.349523125\approx28.3495\)
\(\text{Conversion Equation}\)
\(1.0\left(\dfrac{ounce}{fluid-ounce}\right)\approx{\color{rgb(20,165,174)} 28.3495}\left(\dfrac{gram}{fluid-ounce}\right)\)
