Convert fun(分) to sack

Learn how to convert 1 fun(分) to sack step by step.

Calculation Breakdown

Set up the equation

1.0 (f u n (分)) = x (s a c k)

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 u n (分)) = \frac{3.0}{8.0 \times 10^{3}} (k i l o g r a m) = \frac{3.0}{8.0 \times 10^{3}} (k g)

Right side: 1.0 (s a c k) = 45.36 (k i l o g r a m) = 45.36 (k g)

Insert known values into the conversion equation to determine

x

1.0 (f u n (分)) = x (s a c k)

Insert known values =>

1.0 \times \frac{3.0}{8.0 \times 10^{3}} \times (k i l o g r a m) = x \times 45.36 \times (k i l o g r a m)

Or

1.0 \cdot \frac{3.0}{8.0 \times 10^{3}} \cdot (k g) = x \cdot 45.36 \cdot (k g)

Cancel SI units

1.0 \times \frac{3.0}{8.0 \times 10^{3}} \cdot (k g) = x \times 45.36 \times (k g)

Conversion Equation

\frac{3.0}{8.0 \times 10^{3}} = x \times 45.36

Switch sides

x \times 45.36 = \frac{3.0}{8.0 \times 10^{3}}

Isolate

x

Multiply both sides by

(\frac{1.0}{45.36})

x \times 45.36 \times \frac{1.0}{45.36} = \frac{3.0}{8.0 \times 10^{3}} \times \frac{1.0}{45.36}

Cancel

x \times 45.36 \times \frac{1.0}{45.36} = \frac{3.0 \times 1.0}{8.0 \times 10^{3} \times 45.36}

Simplify

x = \frac{3.0}{8.0 \times 10^{3} \times 45.36}

Rewrite equation

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

Rewrite

x = \frac{10^{- 3} \times 3.0}{8.0 \times 45.36}

Solve

x

x \approx 0.0000082672 \approx 8.2672 \times 10^{- 6}

Conversion Equation

1.0 (f u n (分)) \approx 8.2672 \times 10^{- 6} (s a c k)

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