Convert fen(市分) to pennyweight

Learn how to convert 1 fen(市分) to pennyweight step by step.

Calculation Breakdown

Set up the equation

1.0 (f e n (市 分)) = 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 (f e n (市 分)) = 5.0 \times 10^{- 4} (k i l o g r a m) = 5.0 \times 10^{- 4} (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 (f e n (市 分)) = x (p e n n y w e i g h t)

Insert known values =>

1.0 \times 5.0 \times 10^{- 4} \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 5.0 \times 10^{- 4} \cdot (k g) = x \cdot 1.55517384 \times 10^{- 3} \cdot (k g)

Cancel SI units

1.0 \times 5.0 \times 10^{- 4} \cdot (k g) = x \times 1.55517384 \times 10^{- 3} \times (k g)

Conversion Equation

5.0 \times 10^{- 4} = x \times 1.55517384 \times 10^{- 3}

Cancel factors on both sides

Cancel factors

5.0 \times {10^{- 4}}^{10^{- 1}} = x \times 1.55517384 \times 10^{- 3}

Simplify

5.0 \times 10^{- 1} = x \times 1.55517384

Switch sides

x \times 1.55517384 = 5.0 \times 10^{- 1}

Isolate

x

Multiply both sides by

(\frac{1.0}{1.55517384})

x \times 1.55517384 \times \frac{1.0}{1.55517384} = 5.0 \times 10^{- 1} \times \frac{1.0}{1.55517384}

Cancel

x \times 1.55517384 \times \frac{1.0}{1.55517384} = 5.0 \times 10^{- 1} \times \frac{1.0}{1.55517384}

Simplify

x = \frac{5.0 \times 10^{- 1}}{1.55517384}

Solve

x

x \approx 0.3215074657 \approx 3.2151 \times 10^{- 1}

Conversion Equation

1.0 (f e n (市 分)) \approx 3.2151 \times 10^{- 1} (p e n n y w e i g h t)

View All Examples