Convert year to quarter

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

Calculation Breakdown

Set up the equation

1.0 (y e a r) = 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 (y e a r) = 3.1536 \times 10^{7} (s e c o n d) = 3.1536 \times 10^{7} (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 (y e a r) = x (q u a r t e r)

Insert known values =>

1.0 \times 3.1536 \times 10^{7} \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 3.1536 \times 10^{7} \cdot (s) = x \cdot 7.776 \times 10^{6} \cdot (s)

Cancel SI units

1.0 \times 3.1536 \times 10^{7} \cdot (s) = x \times 7.776 \times 10^{6} \times (s)

Conversion Equation

3.1536 \times 10^{7} = x \times 7.776 \times 10^{6}

Cancel factors on both sides

Cancel factors

3.1536 \times {10^{7}}^{10} = x \times 7.776 \times 10^{6}

Simplify

3.1536 \times 10.0 = x \times 7.776

Switch sides

x \times 7.776 = 3.1536 \times 10.0

Isolate

x

Multiply both sides by

(\frac{1.0}{7.776})

x \times 7.776 \times \frac{1.0}{7.776} = 3.1536 \times 10.0 \times \frac{1.0}{7.776}

Cancel

x \times 7.776 \times \frac{1.0}{7.776} = 3.1536 \times 10.0 \times \frac{1.0}{7.776}

Simplify

x = \frac{3.1536 \times 10.0}{7.776}

Solve

x

x \approx 4.0555555556 \approx 4.0556

Conversion Equation

1.0 (y e a r) \approx 4.0556 (q u a r t e r)

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