Convert quintal to liang(市兩)

Learn how to convert 1 quintal to liang(市兩) step by step.

Calculation Breakdown

Set up the equation

1.0 (q u i n t a l) = x (l i a n g (市 兩))

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 (q u i n t a l) = 45.36 (k i l o g r a m) = 45.36 (k g)

Right side: 1.0 (l i a n g (市 兩)) = 5.0 \times 10^{- 2} (k i l o g r a m) = 5.0 \times 10^{- 2} (k g)

Insert known values into the conversion equation to determine

x

1.0 (q u i n t a l) = x (l i a n g (市 兩))

Insert known values =>

1.0 \times 45.36 \times (k i l o g r a m) = x \times 5.0 \times 10^{- 2} \times (k i l o g r a m)

Or

1.0 \cdot 45.36 \cdot (k g) = x \cdot 5.0 \times 10^{- 2} \cdot (k g)

Cancel SI units

1.0 \times 45.36 \cdot (k g) = x \times 5.0 \times 10^{- 2} \times (k g)

Conversion Equation

45.36 = x \times 5.0 \times 10^{- 2}

Switch sides

x \times 5.0 \times 10^{- 2} = 45.36

Isolate

x

Multiply both sides by

(\frac{1.0}{5.0 \times 10^{- 2}})

x \times 5.0 \times 10^{- 2} \times \frac{1.0}{5.0 \times 10^{- 2}} = 45.36 \times \frac{1.0}{5.0 \times 10^{- 2}}

Cancel

x \times 5.0 \times 10^{- 2} \times \frac{1.0}{5.0 \times 10^{- 2}} = 45.36 \times \frac{1.0}{5.0 \times 10^{- 2}}

Simplify

x = \frac{45.36}{5.0 \times 10^{- 2}}

Rewrite equation

\frac{1.0}{10^{- 2}} can be rewritten to 10^{2}

Rewrite

x = \frac{10^{2} \times 45.36}{5.0}

Solve

x

x = 907.2 = 9.072 \times 10^{2}

Conversion Equation

1.0 (q u i n t a l) = 9.072 \times 10^{2} (l i a n g (市 兩))

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