Convert ounce to assay ton

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

Calculation Breakdown

Set up the equation

1.0 (o u n c e) = 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 (o u n c e) = 2.80668 \times 10^{- 2} (k i l o g r a m) = 2.80668 \times 10^{- 2} (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 (o u n c e) = x (a s s a y t o n)

Insert known values =>

1.0 \times 2.80668 \times 10^{- 2} \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 2.80668 \times 10^{- 2} \cdot (k g) = x \cdot \frac{49.0}{1.5 \times 10^{3}} \cdot (k g)

Cancel SI units

1.0 \times 2.80668 \times 10^{- 2} \cdot (k g) = x \times \frac{49.0}{1.5 \times 10^{3}} \times (k g)

Conversion Equation

2.80668 \times 10^{- 2} = x \times \frac{49.0}{1.5 \times 10^{3}}

Switch sides

x \times \frac{49.0}{1.5 \times 10^{3}} = 2.80668 \times 10^{- 2}

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} = 2.80668 \times 10^{- 2} \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} = 2.80668 \times 10^{- 2} \times \frac{1.5 \times {10^{3}}^{10}}{49.0}

Simplify

x = \frac{2.80668 \times 1.5 \times 10.0}{49.0}

Solve

x

x \approx 0.8591877551 \approx 8.5919 \times 10^{- 1}

Conversion Equation

1.0 (o u n c e) \approx 8.5919 \times 10^{- 1} (a s s a y t o n)

View All Examples