Convert assay ton to mo(毛)

Learn how to convert 1 assay ton to mo(毛) step by step.

Calculation Breakdown

Set up the equation

1.0 (a s s a y t o n) = x (m o (毛))

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 (a s s a y t o n) = \frac{7.0}{2.4 \times 10^{2}} (k i l o g r a m) = \frac{7.0}{2.4 \times 10^{2}} (k g)

Right side: 1.0 (m o (毛)) = \frac{3.0}{8.0 \times 10^{5}} (k i l o g r a m) = \frac{3.0}{8.0 \times 10^{5}} (k g)

Insert known values into the conversion equation to determine

x

1.0 (a s s a y t o n) = x (m o (毛))

Insert known values =>

1.0 \times \frac{7.0}{2.4 \times 10^{2}} \times (k i l o g r a m) = x \times \frac{3.0}{8.0 \times 10^{5}} \times (k i l o g r a m)

Or

1.0 \cdot \frac{7.0}{2.4 \times 10^{2}} \cdot (k g) = x \cdot \frac{3.0}{8.0 \times 10^{5}} \cdot (k g)

Cancel SI units

1.0 \times \frac{7.0}{2.4 \times 10^{2}} \cdot (k g) = x \times \frac{3.0}{8.0 \times 10^{5}} \times (k g)

Conversion Equation

\frac{7.0}{2.4 \times 10^{2}} = x \times \frac{3.0}{8.0 \times 10^{5}}

Cancel factors on both sides

Cancel factors

\frac{7.0}{2.4 \times 10^{2}} = x \times \frac{3.0}{8.0 \times {10^{5}}^{10^{3}}}

Simplify

\frac{7.0}{2.4} = x \times \frac{3.0}{8.0 \times 10^{3}}

Switch sides

x \times \frac{3.0}{8.0 \times 10^{3}} = \frac{7.0}{2.4}

Isolate

x

Multiply both sides by

(\frac{8.0 \times 10^{3}}{3.0})

x \times \frac{3.0}{8.0 \times 10^{3}} \times \frac{8.0 \times 10^{3}}{3.0} = \frac{7.0}{2.4} \times \frac{8.0 \times 10^{3}}{3.0}

Cancel

x \times \frac{3.0 \times 8.0 \times 10^{3}}{8.0 \times 10^{3} \times 3.0} = \frac{7.0 \times 8.0 \times 10^{3}}{2.4 \times 3.0}

Simplify

x = \frac{7.0 \times 8.0 \times 10^{3}}{2.4 \times 3.0}

Solve

x

x \approx 7777.7777778 \approx 7.7778 \times 10^{3}

Conversion Equation

1.0 (a s s a y t o n) \approx 7.7778 \times 10^{3} (m o (毛))

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