Convert day to quarter

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

Calculation Breakdown

Set up the equation

1.0 (d a y) = 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 (d a y) = 8.64 \times 10^{4} (s e c o n d) = 8.64 \times 10^{4} (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 (d a y) = x (q u a r t e r)

Insert known values =>

1.0 \times 8.64 \times 10^{4} \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 8.64 \times 10^{4} \cdot (s) = x \cdot 7.776 \times 10^{6} \cdot (s)

Cancel SI units

1.0 \times 8.64 \times 10^{4} \cdot (s) = x \times 7.776 \times 10^{6} \times (s)

Conversion Equation

8.64 \times 10^{4} = x \times 7.776 \times 10^{6}

Cancel factors on both sides

Cancel factors

8.64 \times 10^{4} = x \times 7.776 \times {10^{6}}^{10^{2}}

Simplify

8.64 = x \times 7.776 \times 10^{2}

Switch sides

x \times 7.776 \times 10^{2} = 8.64

Isolate

x

Multiply both sides by

(\frac{1.0}{7.776 \times 10^{2}})

x \times 7.776 \times 10^{2} \times \frac{1.0}{7.776 \times 10^{2}} = 8.64 \times \frac{1.0}{7.776 \times 10^{2}}

Cancel

x \times 7.776 \times 10^{2} \times \frac{1.0}{7.776 \times 10^{2}} = 8.64 \times \frac{1.0}{7.776 \times 10^{2}}

Simplify

x = \frac{8.64}{7.776 \times 10^{2}}

Rewrite equation

\frac{1.0}{10^{2}} can be rewritten to 10^{- 2}

Rewrite

x = \frac{10^{- 2} \times 8.64}{7.776}

Solve

x

x \approx 0.0111111111 \approx 1.1111 \times 10^{- 2}

Conversion Equation

1.0 (d a y) \approx 1.1111 \times 10^{- 2} (q u a r t e r)

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