Convert sheng(市升) to fifth

Learn how to convert 1 sheng(市升) to fifth step by step.

Calculation Breakdown

Set up the equation

1.0 (s h e n g (市 升)) = x (f i f t h)

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

(c u b i c m e t e r)

Left side: 1.0 (s h e n g (市 升)) = 10^{- 3} (c u b i c m e t e r) = 10^{- 3} (m^{3})

Right side: 1.0 (f i f t h) = 7.570823568 \times 10^{- 4} (c u b i c m e t e r) = 7.570823568 \times 10^{- 4} (m^{3})

Insert known values into the conversion equation to determine

x

1.0 (s h e n g (市 升)) = x (f i f t h)

Insert known values =>

1.0 \times 10^{- 3} \times (c u b i c m e t e r) = x \times 7.570823568 \times 10^{- 4} \times (c u b i c m e t e r)

Or

1.0 \cdot 10^{- 3} \cdot (m^{3}) = x \cdot 7.570823568 \times 10^{- 4} \cdot (m^{3})

Cancel SI units

1.0 \times 10^{- 3} \cdot (m^{3}) = x \times 7.570823568 \times 10^{- 4} \times (m^{3})

Conversion Equation

10^{- 3} = x \times 7.570823568 \times 10^{- 4}

Cancel factors on both sides

Cancel factors

10^{- 3} = x \times 7.570823568 \times {10^{- 4}}^{10^{- 1}}

Simplify

1.0 = x \times 7.570823568 \times 10^{- 1}

Switch sides

x \times 7.570823568 \times 10^{- 1} = 1.0

Isolate

x

Multiply both sides by

(\frac{1.0}{7.570823568 \times 10^{- 1}})

x \times 7.570823568 \times 10^{- 1} \times \frac{1.0}{7.570823568 \times 10^{- 1}} = \times \frac{1.0}{7.570823568 \times 10^{- 1}}

Cancel

x \times 7.570823568 \times 10^{- 1} \times \frac{1.0}{7.570823568 \times 10^{- 1}} = \frac{1.0}{7.570823568 \times 10^{- 1}}

Simplify

x = \frac{1.0}{7.570823568 \times 10^{- 1}}

Rewrite equation

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

Rewrite

x = \frac{10.0}{7.570823568}

Solve

x

x \approx 1.3208602618 \approx 1.3209

Conversion Equation

1.0 (s h e n g (市 升)) \approx 1.3209 (f i f t h)

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