Convert ounce / fluid-ounce to gram / ounce

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

Calculation Breakdown

Set up the equation

1.0 (\frac{o u n c e}{f l u i d - o u n c e}) = x (\frac{g r a m}{o u n c e})

Define the base values of the selected units in relation to the SI unit

(\frac{k i l o g r a m}{c u b i c m e t e r})

Left side: 1.0 (\frac{o u n c e}{f l u i d - o u n c e}) = \frac{2.8349523125}{2.84130625 \times 10^{- 3}} (\frac{k i l o g r a m}{c u b i c m e t e r}) = \frac{2.8349523125}{2.84130625 \times 10^{- 3}} (\frac{k g}{m^{3}})

Right side: 1.0 (\frac{g r a m}{o u n c e}) = \frac{1.0}{2.95735295625 \times 10^{- 2}} (\frac{k i l o g r a m}{c u b i c m e t e r}) = \frac{1.0}{2.95735295625 \times 10^{- 2}} (\frac{k g}{m^{3}})

Insert known values into the conversion equation to determine

x

1.0 (\frac{o u n c e}{f l u i d - o u n c e}) = x (\frac{g r a m}{o u n c e})

Insert known values =>

1.0 \times \frac{2.8349523125}{2.84130625 \times 10^{- 3}} \times (\frac{k i l o g r a m}{c u b i c m e t e r}) = x \times \frac{1.0}{2.95735295625 \times 10^{- 2}} \times (\frac{k i l o g r a m}{c u b i c m e t e r})

Or

1.0 \cdot \frac{2.8349523125}{2.84130625 \times 10^{- 3}} \cdot (\frac{k g}{m^{3}}) = x \cdot \frac{1.0}{2.95735295625 \times 10^{- 2}} \cdot (\frac{k g}{m^{3}})

Cancel SI units

1.0 \times \frac{2.8349523125}{2.84130625 \times 10^{- 3}} \cdot (\frac{k g}{m^{3}}) = x \times \frac{1.0}{2.95735295625 \times 10^{- 2}} \times (\frac{k g}{m^{3}})

Conversion Equation

\frac{2.8349523125}{2.84130625 \times 10^{- 3}} = x \times \frac{1.0}{2.95735295625 \times 10^{- 2}}

Cancel factors on both sides

Cancel factors

\frac{2.8349523125}{2.84130625 \times {10^{- 3}}^{10^{- 1}}} = x \times \frac{1.0}{2.95735295625 \times 10^{- 2}}

Simplify

\frac{2.8349523125}{2.84130625 \times 10^{- 1}} = x \times \frac{1.0}{2.95735295625}

Switch sides

x \times \frac{1.0}{2.95735295625} = \frac{2.8349523125}{2.84130625 \times 10^{- 1}}

Isolate

x

Multiply both sides by

(\frac{2.95735295625}{1.0})

x \times \frac{1.0}{2.95735295625} \times \frac{2.95735295625}{1.0} = \frac{2.8349523125}{2.84130625 \times 10^{- 1}} \times \frac{2.95735295625}{1.0}

Cancel

x \times \frac{1.0 \times 2.95735295625}{2.95735295625 \times 1.0} = \frac{2.8349523125 \times 2.95735295625}{2.84130625 \times 10^{- 1} \times 1.0}

Simplify

x = \frac{2.8349523125 \times 2.95735295625}{2.84130625 \times 10^{- 1}}

Rewrite equation

\frac{1.0}{10^{- 1}} can be rewritten to 10

Rewrite

x = \frac{10.0 \times 2.8349523125 \times 2.95735295625}{2.84130625}

Solve

x

x \approx 29.507395066 \approx 29.5074

Conversion Equation

1.0 (\frac{o u n c e}{f l u i d - o u n c e}) \approx 29.5074 (\frac{g r a m}{o u n c e})

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