Convert football field to mou(亩)

Learn how to convert 1 football field to mou(亩) 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 (m o u (亩))

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

(s q u a r e m e t e r)

Left side: 1.0 (f o o t b a l l f i e l d) = 7.14 \times 10^{3} (s q u a r e m e t e r) = 7.14 \times 10^{3} (m^{2})

Right side: 1.0 (m o u (亩)) = \frac{10^{4}}{15.0} (s q u a r e m e t e r) = \frac{10^{4}}{15.0} (m^{2})

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 (m o u (亩))

Insert known values =>

1.0 \times 7.14 \times 10^{3} \times (s q u a r e m e t e r) = x \times \frac{10^{4}}{15.0} \times (s q u a r e m e t e r)

Or

1.0 \cdot 7.14 \times 10^{3} \cdot (m^{2}) = x \cdot \frac{10^{4}}{15.0} \cdot (m^{2})

Cancel SI units

1.0 \times 7.14 \times 10^{3} \cdot (m^{2}) = x \times \frac{10^{4}}{15.0} \times (m^{2})

Conversion Equation

7.14 \times 10^{3} = x \times \frac{10^{4}}{15.0}

Cancel factors on both sides

Cancel factors

7.14 \times 10^{3} = x \times \frac{{10^{4}}^{10}}{15.0}

Simplify

7.14 = x \times \frac{10.0}{15.0}

Switch sides

x \times \frac{10.0}{15.0} = 7.14

Isolate

x

Multiply both sides by

(\frac{15.0}{10.0})

x \times \frac{10.0}{15.0} \times \frac{15.0}{10.0} = 7.14 \times \frac{15.0}{10.0}

Cancel

x \times \frac{10.0 \times 15.0}{15.0 \times 10.0} = 7.14 \times \frac{15.0}{10.0}

Simplify

x = \frac{7.14 \times 15.0}{10.0}

Solve

x

x = 10.71

Conversion Equation

1.0 (f o o t b a l l f i e l d) = 10.71 (m o u (亩))

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