Convert marathon to didot point

Learn how to convert 1 marathon to didot point step by step.

Calculation Breakdown

Set up the equation

1.0 (m a r a t h o n) = x (d i d o t p o i n t)

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) = 3.675 \times 10^{4} (m e t e r) = 3.675 \times 10^{4} (m)

Right side: 1.0 (d i d o t p o i n t) = 3.77 \times 10^{- 4} (m e t e r) = 3.77 \times 10^{- 4} (m)

Insert known values into the conversion equation to determine

x

1.0 (m a r a t h o n) = x (d i d o t p o i n t)

Insert known values =>

1.0 \times 3.675 \times 10^{4} \times (m e t e r) = x \times 3.77 \times 10^{- 4} \times (m e t e r)

Or

1.0 \cdot 3.675 \times 10^{4} \cdot (m) = x \cdot 3.77 \times 10^{- 4} \cdot (m)

Cancel SI units

1.0 \times 3.675 \times 10^{4} \cdot (m) = x \times 3.77 \times 10^{- 4} \times (m)

Conversion Equation

3.675 \times 10^{4} = x \times 3.77 \times 10^{- 4}

Switch sides

x \times 3.77 \times 10^{- 4} = 3.675 \times 10^{4}

Isolate

x

Multiply both sides by

(\frac{1.0}{3.77 \times 10^{- 4}})

x \times 3.77 \times 10^{- 4} \times \frac{1.0}{3.77 \times 10^{- 4}} = 3.675 \times 10^{4} \times \frac{1.0}{3.77 \times 10^{- 4}}

Cancel

x \times 3.77 \times 10^{- 4} \times \frac{1.0}{3.77 \times 10^{- 4}} = 3.675 \times 10^{4} \times \frac{1.0}{3.77 \times 10^{- 4}}

Simplify

x = \frac{3.675 \times 10^{4}}{3.77 \times 10^{- 4}}

Rewrite equation

\frac{1.0}{10^{- 4}} can be rewritten to 10^{4}

Rewrite

x = \frac{10^{4} \times 3.675 \times 10^{4}}{3.77}

Simplify

x = \frac{10^{8} \times 3.675}{3.77}

Solve

x

x \approx 97480106.101 \approx 9.748 \times 10^{7}

Conversion Equation

1.0 (m a r a t h o n) \approx 9.748 \times 10^{7} (d i d o t p o i n t)

View All Examples