Convert ounce / fluid-ounce to grain / ounce

Learn how to convert 1 ounce / fluid-ounce to grain / 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 i n}{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}{2.95735295625 \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}{2.95735295625 \times 10^{- 3}} (\frac{k g}{m^{3}})

Right side: 1.0 (\frac{g r a i n}{o u n c e}) = \frac{6.479891}{2.95735295625} (\frac{k i l o g r a m}{c u b i c m e t e r}) = \frac{6.479891}{2.95735295625} (\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 i n}{o u n c e})

Insert known values =>

1.0 \times \frac{2.8349523125}{2.95735295625 \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{6.479891}{2.95735295625} \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}{2.95735295625 \times 10^{- 3}} \cdot (\frac{k g}{m^{3}}) = x \cdot \frac{6.479891}{2.95735295625} \cdot (\frac{k g}{m^{3}})

Cancel SI units

1.0 \times \frac{2.8349523125}{2.95735295625 \times 10^{- 3}} \cdot (\frac{k g}{m^{3}}) = x \times \frac{6.479891}{2.95735295625} \times (\frac{k g}{m^{3}})

Conversion Equation

\frac{2.8349523125}{2.95735295625 \times 10^{- 3}} = x \times \frac{6.479891}{2.95735295625}

Cancel factors on both sides

Cancel factors

\frac{2.8349523125}{2.95735295625 \times 10^{- 3}} = x \times \frac{6.479891}{2.95735295625}

Simplify

\frac{2.8349523125}{10^{- 3}} = x \times 6.479891

Switch sides

x \times 6.479891 = \frac{2.8349523125}{10^{- 3}}

Isolate

x

Multiply both sides by

(\frac{1.0}{6.479891})

x \times 6.479891 \times \frac{1.0}{6.479891} = \frac{2.8349523125}{10^{- 3}} \times \frac{1.0}{6.479891}

Cancel

x \times 6.479891 \times \frac{1.0}{6.479891} = \frac{2.8349523125 \times 1.0}{10^{- 3} \times 6.479891}

Simplify

x = \frac{2.8349523125}{10^{- 3} \times 6.479891}

Rewrite equation

\frac{1.0}{10^{- 3}} can be rewritten to 10^{3}

Rewrite

x = \frac{10^{3} \times 2.8349523125}{6.479891}

Solve

x

x = 437.5 = 4.375 \times 10^{2}

Conversion Equation

1.0 (\frac{o u n c e}{f l u i d - o u n c e}) = 4.375 \times 10^{2} (\frac{g r a i n}{o u n c e})

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