Convert jin(市斤) to dan(市擔)

Learn how to convert 1 jin(市斤) to dan(市擔) step by step.

Calculation Breakdown

Set up the equation

1.0 (j i n (市 斤)) = x (d a n (市 擔))

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 (j i n (市 斤)) = 5.0 \times 10^{- 1} (k i l o g r a m) = 5.0 \times 10^{- 1} (k g)

Right side: 1.0 (d a n (市 擔)) = 50.0 (k i l o g r a m) = 50.0 (k g)

Insert known values into the conversion equation to determine

x

1.0 (j i n (市 斤)) = x (d a n (市 擔))

Insert known values =>

1.0 \times 5.0 \times 10^{- 1} \times (k i l o g r a m) = x \times 50.0 \times (k i l o g r a m)

Or

1.0 \cdot 5.0 \times 10^{- 1} \cdot (k g) = x \cdot 50.0 \cdot (k g)

Cancel SI units

1.0 \times 5.0 \times 10^{- 1} \cdot (k g) = x \times 50.0 \times (k g)

Conversion Equation

5.0 \times 10^{- 1} = x \times 50.0

Switch sides

x \times 50.0 = 5.0 \times 10^{- 1}

Isolate

x

Multiply both sides by

(\frac{1.0}{50.0})

x \times 50.0 \times \frac{1.0}{50.0} = 5.0 \times 10^{- 1} \times \frac{1.0}{50.0}

Cancel

x \times 50.0 \times \frac{1.0}{50.0} = 5.0 \times 10^{- 1} \times \frac{1.0}{50.0}

Simplify

x = \frac{5.0 \times 10^{- 1}}{50.0}

Solve

x

x = 0.01 = 0.1 \times 10^{- 1}

Conversion Equation

1.0 (j i n (市 斤)) = 0.1 \times 10^{- 1} (d a n (市 擔))

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