Convert football field to cho(町)

Learn how to convert 1 football field to cho(町) step by step.

Calculation Breakdown

Set up the equation

1.0 (f o o t b a l l f i e l d) = x (c h o (町))

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

(m e t e r)

Left side: 1.0 (f o o t b a l l f i e l d) = 100.584 (m e t e r) = 100.584 (m)

Right side: 1.0 (c h o (町)) = \frac{1.2 \times 10^{3}}{11.0} (m e t e r) = \frac{1.2 \times 10^{3}}{11.0} (m)

Insert known values into the conversion equation to determine

x

1.0 (f o o t b a l l f i e l d) = x (c h o (町))

Insert known values =>

1.0 \times 100.584 \times (m e t e r) = x \times \frac{1.2 \times 10^{3}}{11.0} \times (m e t e r)

Or

1.0 \cdot 100.584 \cdot (m) = x \cdot \frac{1.2 \times 10^{3}}{11.0} \cdot (m)

Cancel SI units

1.0 \times 100.584 \cdot (m) = x \times \frac{1.2 \times 10^{3}}{11.0} \times (m)

Conversion Equation

100.584 = x \times \frac{1.2 \times 10^{3}}{11.0}

Switch sides

x \times \frac{1.2 \times 10^{3}}{11.0} = 100.584

Isolate

x

Multiply both sides by

(\frac{11.0}{1.2 \times 10^{3}})

x \times \frac{1.2 \times 10^{3}}{11.0} \times \frac{11.0}{1.2 \times 10^{3}} = 100.584 \times \frac{11.0}{1.2 \times 10^{3}}

Cancel

x \times \frac{1.2 \times 10^{3} \times 11.0}{11.0 \times 1.2 \times 10^{3}} = 100.584 \times \frac{11.0}{1.2 \times 10^{3}}

Simplify

x = \frac{100.584 \times 11.0}{1.2 \times 10^{3}}

Rewrite equation

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

Rewrite

x = \frac{10^{- 3} \times 100.584 \times 11.0}{1.2}

Solve

x

x = 0.92202 = 9.2202 \times 10^{- 1}

Conversion Equation

1.0 (f o o t b a l l f i e l d) = 9.2202 \times 10^{- 1} (c h o (町))

View All Examples