Convert quarter to mile

Learn how to convert 1 quarter to mile step by step.

Calculation Breakdown

Set up the equation

1.0 (q u a r t e r) = x (m i l e)

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

(m e t e r)

Left side: 1.0 (q u a r t e r) = 402.336 (m e t e r) = 402.336 (m)

Right side: 1.0 (m i l e) = 1609.344 (m e t e r) = 1609.344 (m)

Insert known values into the conversion equation to determine

x

1.0 (q u a r t e r) = x (m i l e)

Insert known values =>

1.0 \times 402.336 \times (m e t e r) = x \times 1609.344 \times (m e t e r)

Or

1.0 \cdot 402.336 \cdot (m) = x \cdot 1609.344 \cdot (m)

Cancel SI units

1.0 \times 402.336 \cdot (m) = x \times 1609.344 \times (m)

Conversion Equation

402.336 = x \times 1609.344

Switch sides

x \times 1609.344 = 402.336

Isolate

x

Multiply both sides by

(\frac{1.0}{1609.344})

x \times 1609.344 \times \frac{1.0}{1609.344} = 402.336 \times \frac{1.0}{1609.344}

Cancel

x \times 1609.344 \times \frac{1.0}{1609.344} = 402.336 \times \frac{1.0}{1609.344}

Simplify

x = \frac{402.336}{1609.344}

Solve

x

x = 0.25 = 2.5 \times 10^{- 1}

Conversion Equation

1.0 (q u a r t e r) = 2.5 \times 10^{- 1} (m i l e)

View All Examples