Convert fifth to go(合)

Learn how to convert 1 fifth to go(合) step by step.

Calculation Breakdown

Set up the equation

1.0 (f i f t h) = x (g o (合))

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 (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})

Right side: 1.0 (g o (合)) = \frac{2401.0}{1.331 \times 10^{7}} (c u b i c m e t e r) = \frac{2401.0}{1.331 \times 10^{7}} (m^{3})

Insert known values into the conversion equation to determine

x

1.0 (f i f t h) = x (g o (合))

Insert known values =>

1.0 \times 7.570823568 \times 10^{- 4} \times (c u b i c m e t e r) = x \times \frac{2401.0}{1.331 \times 10^{7}} \times (c u b i c m e t e r)

Or

1.0 \cdot 7.570823568 \times 10^{- 4} \cdot (m^{3}) = x \cdot \frac{2401.0}{1.331 \times 10^{7}} \cdot (m^{3})

Cancel SI units

1.0 \times 7.570823568 \times 10^{- 4} \cdot (m^{3}) = x \times \frac{2401.0}{1.331 \times 10^{7}} \times (m^{3})

Conversion Equation

7.570823568 \times 10^{- 4} = x \times \frac{2401.0}{1.331 \times 10^{7}}

Switch sides

x \times \frac{2401.0}{1.331 \times 10^{7}} = 7.570823568 \times 10^{- 4}

Isolate

x

Multiply both sides by

(\frac{1.331 \times 10^{7}}{2401.0})

x \times \frac{2401.0}{1.331 \times 10^{7}} \times \frac{1.331 \times 10^{7}}{2401.0} = 7.570823568 \times 10^{- 4} \times \frac{1.331 \times 10^{7}}{2401.0}

Cancel

x \times \frac{2401.0 \times 1.331 \times 10^{7}}{1.331 \times 10^{7} \times 2401.0} = 7.570823568 \times 10^{- 4} \times \frac{1.331 \times {10^{7}}^{10^{3}}}{2401.0}

Simplify

x = \frac{7.570823568 \times 1.331 \times 10^{3}}{2401.0}

Solve

x

x \approx 4.1969038605 \approx 4.1969

Conversion Equation

1.0 (f i f t h) \approx 4.1969 (g o (合))

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