Convert rin(厘) to jin(市斤)

Learn how to convert 1 rin(厘) to jin(市斤) step by step.

Calculation Breakdown

Set up the equation

1.0 (r i n (厘)) = x (j i n (市 斤))

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 (r i n (厘)) = \frac{3.0}{8.0 \times 10^{4}} (k i l o g r a m) = \frac{3.0}{8.0 \times 10^{4}} (k g)

Right 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)

Insert known values into the conversion equation to determine

x

1.0 (r i n (厘)) = x (j i n (市 斤))

Insert known values =>

1.0 \times \frac{3.0}{8.0 \times 10^{4}} \times (k i l o g r a m) = x \times 5.0 \times 10^{- 1} \times (k i l o g r a m)

Or

1.0 \cdot \frac{3.0}{8.0 \times 10^{4}} \cdot (k g) = x \cdot 5.0 \times 10^{- 1} \cdot (k g)

Cancel SI units

1.0 \times \frac{3.0}{8.0 \times 10^{4}} \cdot (k g) = x \times 5.0 \times 10^{- 1} \times (k g)

Conversion Equation

\frac{3.0}{8.0 \times 10^{4}} = x \times 5.0 \times 10^{- 1}

Switch sides

x \times 5.0 \times 10^{- 1} = \frac{3.0}{8.0 \times 10^{4}}

Isolate

x

Multiply both sides by

(\frac{1.0}{5.0 \times 10^{- 1}})

x \times 5.0 \times 10^{- 1} \times \frac{1.0}{5.0 \times 10^{- 1}} = \frac{3.0}{8.0 \times 10^{4}} \times \frac{1.0}{5.0 \times 10^{- 1}}

Cancel

x \times 5.0 \times 10^{- 1} \times \frac{1.0}{5.0 \times 10^{- 1}} = \frac{3.0 \times 1.0}{8.0 \times {10^{4}}^{10^{3}} \times 5.0 \times 10^{- 1}}

Simplify

x = \frac{3.0}{8.0 \times 10^{3} \times 5.0}

Rewrite equation

\frac{1.0}{10^{3}} can be rewritten to 10^{- 3}

Rewrite

x = \frac{10^{- 3} \times 3.0}{8.0 \times 5.0}

Solve

x

x = 7.5 \times 10^{- 5}

Conversion Equation

1.0 (r i n (厘)) = 7.5 \times 10^{- 5} (j i n (市 斤))

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