Convert week to quarter

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

Calculation Breakdown

Set up the equation

1.0 (w e e k) = x (q u a r t e r)

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

(s e c o n d)

Left side: 1.0 (w e e k) = 6.048 \times 10^{5} (s e c o n d) = 6.048 \times 10^{5} (s)

Right side: 1.0 (q u a r t e r) = 7.776 \times 10^{6} (s e c o n d) = 7.776 \times 10^{6} (s)

Insert known values into the conversion equation to determine

x

1.0 (w e e k) = x (q u a r t e r)

Insert known values =>

1.0 \times 6.048 \times 10^{5} \times (s e c o n d) = x \times 7.776 \times 10^{6} \times (s e c o n d)

Or

1.0 \cdot 6.048 \times 10^{5} \cdot (s) = x \cdot 7.776 \times 10^{6} \cdot (s)

Cancel SI units

1.0 \times 6.048 \times 10^{5} \cdot (s) = x \times 7.776 \times 10^{6} \times (s)

Conversion Equation

6.048 \times 10^{5} = x \times 7.776 \times 10^{6}

Cancel factors on both sides

Cancel factors

6.048 \times 10^{5} = x \times 7.776 \times {10^{6}}^{10}

Simplify

6.048 = x \times 7.776 \times 10.0

Switch sides

x \times 7.776 \times 10.0 = 6.048

Isolate

x

Multiply both sides by

(\frac{1.0}{7.776 \times 10.0})

x \times 7.776 \times 10.0 \times \frac{1.0}{7.776 \times 10.0} = 6.048 \times \frac{1.0}{7.776 \times 10.0}

Cancel

x \times 7.776 \times 10.0 \times \frac{1.0}{7.776 \times 10.0} = 6.048 \times \frac{1.0}{7.776 \times 10.0}

Simplify

x = \frac{6.048}{7.776 \times 10.0}

Solve

x

x \approx 0.0777777778 \approx 7.7778 \times 10^{- 2}

Conversion Equation

1.0 (w e e k) \approx 7.7778 \times 10^{- 2} (q u a r t e r)

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