Convert assay ton to pennyweight

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

Calculation Breakdown

Set up the equation

1.0 (a s s a y t o n) = x (p e n n y w e i g h t)

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 (p e n n y w e i g h t) = 1.55517384 \times 10^{- 3} (k i l o g r a m) = 1.55517384 \times 10^{- 3} (k g)

Insert known values into the conversion equation to determine

x

1.0 (a s s a y t o n) = x (p e n n y w e i g h t)

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 1.55517384 \times 10^{- 3} \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 1.55517384 \times 10^{- 3} \cdot (k g)

Cancel SI units

1.0 \times \frac{49.0}{1.5 \times 10^{3}} \cdot (k g) = x \times 1.55517384 \times 10^{- 3} \times (k g)

Conversion Equation

\frac{49.0}{1.5 \times 10^{3}} = x \times 1.55517384 \times 10^{- 3}

Switch sides

x \times 1.55517384 \times 10^{- 3} = \frac{49.0}{1.5 \times 10^{3}}

Isolate

x

Multiply both sides by

(\frac{1.0}{1.55517384 \times 10^{- 3}})

x \times 1.55517384 \times 10^{- 3} \times \frac{1.0}{1.55517384 \times 10^{- 3}} = \frac{49.0}{1.5 \times 10^{3}} \times \frac{1.0}{1.55517384 \times 10^{- 3}}

Cancel

x \times 1.55517384 \times 10^{- 3} \times \frac{1.0}{1.55517384 \times 10^{- 3}} = \frac{49.0 \times 1.0}{1.5 \times 10^{3} \times 1.55517384 \times 10^{- 3}}

Simplify

x = \frac{49.0}{1.5 \times 1.55517384}

Solve

x

x \approx 21.005154425 \approx 21.0052

Conversion Equation

1.0 (a s s a y t o n) \approx 21.0052 (p e n n y w e i g h t)

View All Examples