Convert fen(市分) to Momme(匁)

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

Calculation Breakdown

Set up the equation

1.0 (f e n (市 分)) = x (M o m m e (匁))

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 (M o m m e (匁)) = \frac{3.0}{8.0 \times 10^{2}} (k i l o g r a m) = \frac{3.0}{8.0 \times 10^{2}} (k g)

Insert known values into the conversion equation to determine

x

1.0 (f e n (市 分)) = x (M o m m e (匁))

Insert known values =>

1.0 \times 5.0 \times 10^{- 4} \times (k i l o g r a m) = x \times \frac{3.0}{8.0 \times 10^{2}} \times (k i l o g r a m)

Or

1.0 \cdot 5.0 \times 10^{- 4} \cdot (k g) = x \cdot \frac{3.0}{8.0 \times 10^{2}} \cdot (k g)

Cancel SI units

1.0 \times 5.0 \times 10^{- 4} \cdot (k g) = x \times \frac{3.0}{8.0 \times 10^{2}} \times (k g)

Conversion Equation

5.0 \times 10^{- 4} = x \times \frac{3.0}{8.0 \times 10^{2}}

Switch sides

x \times \frac{3.0}{8.0 \times 10^{2}} = 5.0 \times 10^{- 4}

Isolate

x

Multiply both sides by

(\frac{8.0 \times 10^{2}}{3.0})

x \times \frac{3.0}{8.0 \times 10^{2}} \times \frac{8.0 \times 10^{2}}{3.0} = 5.0 \times 10^{- 4} \times \frac{8.0 \times 10^{2}}{3.0}

Cancel

x \times \frac{3.0 \times 8.0 \times 10^{2}}{8.0 \times 10^{2} \times 3.0} = 5.0 \times {10^{- 4}}^{10^{- 2}} \times \frac{8.0 \times 10^{2}}{3.0}

Simplify

x = \frac{5.0 \times 10^{- 2} \times 8.0}{3.0}

Solve

x

x \approx 0.1333333333 \approx 1.3333 \times 10^{- 1}

Conversion Equation

1.0 (f e n (市 分)) \approx 1.3333 \times 10^{- 1} (M o m m e (匁))

View All Examples