Convert Momme(匁) to dram

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

Calculation Breakdown

Set up the equation

1.0 (M o m m e (匁)) = x (d r a m)

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 (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)

Right side: 1.0 (d r a m) = 3.8879346 \times 10^{- 3} (k i l o g r a m) = 3.8879346 \times 10^{- 3} (k g)

Insert known values into the conversion equation to determine

x

1.0 (M o m m e (匁)) = x (d r a m)

Insert known values =>

1.0 \times \frac{3.0}{8.0 \times 10^{2}} \times (k i l o g r a m) = x \times 3.8879346 \times 10^{- 3} \times (k i l o g r a m)

Or

1.0 \cdot \frac{3.0}{8.0 \times 10^{2}} \cdot (k g) = x \cdot 3.8879346 \times 10^{- 3} \cdot (k g)

Cancel SI units

1.0 \times \frac{3.0}{8.0 \times 10^{2}} \cdot (k g) = x \times 3.8879346 \times 10^{- 3} \times (k g)

Conversion Equation

\frac{3.0}{8.0 \times 10^{2}} = x \times 3.8879346 \times 10^{- 3}

Switch sides

x \times 3.8879346 \times 10^{- 3} = \frac{3.0}{8.0 \times 10^{2}}

Isolate

x

Multiply both sides by

(\frac{1.0}{3.8879346 \times 10^{- 3}})

x \times 3.8879346 \times 10^{- 3} \times \frac{1.0}{3.8879346 \times 10^{- 3}} = \frac{3.0}{8.0 \times 10^{2}} \times \frac{1.0}{3.8879346 \times 10^{- 3}}

Cancel

x \times 3.8879346 \times 10^{- 3} \times \frac{1.0}{3.8879346 \times 10^{- 3}} = \frac{3.0 \times 1.0}{8.0 \times 10^{2} \times 3.8879346 \times {10^{- 3}}^{10^{- 1}}}

Simplify

x = \frac{3.0}{8.0 \times 3.8879346 \times 10^{- 1}}

Rewrite equation

\frac{1.0}{10^{- 1}} can be rewritten to 10

Rewrite

x = \frac{10.0 \times 3.0}{8.0 \times 3.8879346}

Solve

x

x \approx 0.9645223971 \approx 9.6452 \times 10^{- 1}

Conversion Equation

1.0 (M o m m e (匁)) \approx 9.6452 \times 10^{- 1} (d r a m)

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