Convert marathon to bu(分)

Learn how to convert 1 marathon to bu(分) step by step.

Calculation Breakdown

Set up the equation

1.0 (m a r a t h o n) = x (b u (分))

Define the base values of the selected units in relation to the SI unit

(m e t e r)

Left side: 1.0 (m a r a t h o n) = 4.2195 \times 10^{4} (m e t e r) = 4.2195 \times 10^{4} (m)

Right side: 1.0 (b u (分)) = \frac{1.0}{3.3 \times 10^{2}} (m e t e r) = \frac{1.0}{3.3 \times 10^{2}} (m)

Insert known values into the conversion equation to determine

x

1.0 (m a r a t h o n) = x (b u (分))

Insert known values =>

1.0 \times 4.2195 \times 10^{4} \times (m e t e r) = x \times \frac{1.0}{3.3 \times 10^{2}} \times (m e t e r)

Or

1.0 \cdot 4.2195 \times 10^{4} \cdot (m) = x \cdot \frac{1.0}{3.3 \times 10^{2}} \cdot (m)

Cancel SI units

1.0 \times 4.2195 \times 10^{4} \cdot (m) = x \times \frac{1.0}{3.3 \times 10^{2}} \times (m)

Conversion Equation

4.2195 \times 10^{4} = x \times \frac{1.0}{3.3 \times 10^{2}}

Switch sides

x \times \frac{1.0}{3.3 \times 10^{2}} = 4.2195 \times 10^{4}

Isolate

x

Multiply both sides by

(\frac{3.3 \times 10^{2}}{1.0})

x \times \frac{1.0}{3.3 \times 10^{2}} \times \frac{3.3 \times 10^{2}}{1.0} = 4.2195 \times 10^{4} \times \frac{3.3 \times 10^{2}}{1.0}

Cancel

x \times \frac{1.0 \times 3.3 \times 10^{2}}{3.3 \times 10^{2} \times 1.0} = 4.2195 \times 10^{4} \times \frac{3.3 \times 10^{2}}{1.0}

Simplify

x = 4.2195 \times 10^{4} \times 3.3 \times 10^{2}

Solve

x

x = 13924350 \approx 1.3924 \times 10^{7}

Conversion Equation

1.0 (m a r a t h o n) \approx 1.3924 \times 10^{7} (b u (分))

View All Examples