Convert assay ton to ounce

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

Calculation Breakdown

Set up the equation

1.0 (a s s a y t o n) = x (o u n c 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{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)

Right side: 1.0 (o u n c e) = 3.11034768 \times 10^{- 2} (k i l o g r a m) = 3.11034768 \times 10^{- 2} (k g)

Insert known values into the conversion equation to determine

x

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

Insert known values =>

1.0 \times \frac{49.0}{1.5 \times 10^{3}} \times (k i l o g r a m) = x \times 3.11034768 \times 10^{- 2} \times (k i l o g r a m)

Or

1.0 \cdot \frac{49.0}{1.5 \times 10^{3}} \cdot (k g) = x \cdot 3.11034768 \times 10^{- 2} \cdot (k g)

Cancel SI units

1.0 \times \frac{49.0}{1.5 \times 10^{3}} \cdot (k g) = x \times 3.11034768 \times 10^{- 2} \times (k g)

Conversion Equation

\frac{49.0}{1.5 \times 10^{3}} = x \times 3.11034768 \times 10^{- 2}

Switch sides

x \times 3.11034768 \times 10^{- 2} = \frac{49.0}{1.5 \times 10^{3}}

Isolate

x

Multiply both sides by

(\frac{1.0}{3.11034768 \times 10^{- 2}})

x \times 3.11034768 \times 10^{- 2} \times \frac{1.0}{3.11034768 \times 10^{- 2}} = \frac{49.0}{1.5 \times 10^{3}} \times \frac{1.0}{3.11034768 \times 10^{- 2}}

Cancel

x \times 3.11034768 \times 10^{- 2} \times \frac{1.0}{3.11034768 \times 10^{- 2}} = \frac{49.0 \times 1.0}{1.5 \times {10^{3}}^{10} \times 3.11034768 \times 10^{- 2}}

Simplify

x = \frac{49.0}{1.5 \times 10.0 \times 3.11034768}

Solve

x

x \approx 1.0502577212 \approx 1.0503

Conversion Equation

1.0 (a s s a y t o n) \approx 1.0503 (o u n c e)

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