Convert hyakume(百目) to assay ton

Learn how to convert 1 hyakume(百目) to assay ton step by step.

Calculation Breakdown

Set up the equation

1.0 (h y a k u m e (百 目)) = x (a s s a y t o n)

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

(k i l o g r a m)

Left side: 1.0 (h y a k u m e (百 目)) = \frac{3.0}{8.0} (k i l o g r a m) = \frac{3.0}{8.0} (k g)

Right side: 1.0 (a s s a y t o n) = \frac{49.0}{1.5 \times 10^{3}} (k i l o g r a m) = \frac{49.0}{1.5 \times 10^{3}} (k g)

Insert known values into the conversion equation to determine

x

1.0 (h y a k u m e (百 目)) = x (a s s a y t o n)

Insert known values =>

1.0 \times \frac{3.0}{8.0} \times (k i l o g r a m) = x \times \frac{49.0}{1.5 \times 10^{3}} \times (k i l o g r a m)

Or

1.0 \cdot \frac{3.0}{8.0} \cdot (k g) = x \cdot \frac{49.0}{1.5 \times 10^{3}} \cdot (k g)

Cancel SI units

1.0 \times \frac{3.0}{8.0} \cdot (k g) = x \times \frac{49.0}{1.5 \times 10^{3}} \times (k g)

Conversion Equation

\frac{3.0}{8.0} = x \times \frac{49.0}{1.5 \times 10^{3}}

Switch sides

x \times \frac{49.0}{1.5 \times 10^{3}} = \frac{3.0}{8.0}

Isolate

x

Multiply both sides by

(\frac{1.5 \times 10^{3}}{49.0})

x \times \frac{49.0}{1.5 \times 10^{3}} \times \frac{1.5 \times 10^{3}}{49.0} = \frac{3.0}{8.0} \times \frac{1.5 \times 10^{3}}{49.0}

Cancel

x \times \frac{49.0 \times 1.5 \times 10^{3}}{1.5 \times 10^{3} \times 49.0} = \frac{3.0 \times 1.5 \times 10^{3}}{8.0 \times 49.0}

Simplify

x = \frac{3.0 \times 1.5 \times 10^{3}}{8.0 \times 49.0}

Solve

x

x \approx 11.479591837 \approx 11.4796

Conversion Equation

1.0 (h y a k u m e (百 目)) \approx 11.4796 (a s s a y t o n)

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