Convert pennyweight to bag

Learn how to convert 1 pennyweight to bag step by step.

Calculation Breakdown

Set up the equation

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

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 (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)

Right side: 1.0 (b a g) = 39.689332375 (k i l o g r a m) = 39.689332375 (k g)

Insert known values into the conversion equation to determine

x

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

Insert known values =>

1.0 \times 1.55517384 \times 10^{- 3} \times (k i l o g r a m) = x \times 39.689332375 \times (k i l o g r a m)

Or

1.0 \cdot 1.55517384 \times 10^{- 3} \cdot (k g) = x \cdot 39.689332375 \cdot (k g)

Cancel SI units

1.0 \times 1.55517384 \times 10^{- 3} \cdot (k g) = x \times 39.689332375 \times (k g)

Conversion Equation

1.55517384 \times 10^{- 3} = x \times 39.689332375

Switch sides

x \times 39.689332375 = 1.55517384 \times 10^{- 3}

Isolate

x

Multiply both sides by

(\frac{1.0}{39.689332375})

x \times 39.689332375 \times \frac{1.0}{39.689332375} = 1.55517384 \times 10^{- 3} \times \frac{1.0}{39.689332375}

Cancel

x \times 39.689332375 \times \frac{1.0}{39.689332375} = 1.55517384 \times 10^{- 3} \times \frac{1.0}{39.689332375}

Simplify

x = \frac{1.55517384 \times 10^{- 3}}{39.689332375}

Solve

x

x \approx 0.0000391837 \approx 3.9184 \times 10^{- 5}

Conversion Equation

1.0 (p e n n y w e i g h t) \approx 3.9184 \times 10^{- 5} (b a g)

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