Convert assay ton to tonne

Learn how to convert 1 assay ton to tonne step by step.

Calculation Breakdown

Set up the equation

1.0 (a s s a y t o n) = x (t o n n e)

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 (t o n n e) = 907.18474 (k i l o g r a m) = 907.18474 (k g)

Insert known values into the conversion equation to determine

x

1.0 (a s s a y t o n) = x (t o n n e)

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 907.18474 \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 907.18474 \cdot (k g)

Cancel SI units

1.0 \times \frac{7.0}{2.4 \times 10^{2}} \cdot (k g) = x \times 907.18474 \times (k g)

Conversion Equation

\frac{7.0}{2.4 \times 10^{2}} = x \times 907.18474

Switch sides

x \times 907.18474 = \frac{7.0}{2.4 \times 10^{2}}

Isolate

x

Multiply both sides by

(\frac{1.0}{907.18474})

x \times 907.18474 \times \frac{1.0}{907.18474} = \frac{7.0}{2.4 \times 10^{2}} \times \frac{1.0}{907.18474}

Cancel

x \times 907.18474 \times \frac{1.0}{907.18474} = \frac{7.0 \times 1.0}{2.4 \times 10^{2} \times 907.18474}

Simplify

x = \frac{7.0}{2.4 \times 10^{2} \times 907.18474}

Rewrite equation

\frac{1.0}{10^{2}} can be rewritten to 10^{- 2}

Rewrite

x = \frac{10^{- 2} \times 7.0}{2.4 \times 907.18474}

Solve

x

x \approx 0.0000321507 \approx 3.2151 \times 10^{- 5}

Conversion Equation

1.0 (a s s a y t o n) \approx 3.2151 \times 10^{- 5} (t o n n e)

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