Convert lustrum to jiffy

Learn how to convert 1 lustrum to jiffy step by step.

Calculation Breakdown

Set up the equation
\(1.0\left(lustrum\right)={\color{rgb(20,165,174)} x}\left(jiffy\right)\)
Define the base values of the selected units in relation to the SI unit \(\left(second\right)\)
\(\text{Left side: 1.0 } \left(lustrum\right) = {\color{rgb(89,182,91)} 1.5768 \times 10^{8}\left(second\right)} = {\color{rgb(89,182,91)} 1.5768 \times 10^{8}\left(s\right)}\)
\(\text{Right side: 1.0 } \left(jiffy\right) = {\color{rgb(125,164,120)} \dfrac{1.0}{60.0}\left(second\right)} = {\color{rgb(125,164,120)} \dfrac{1.0}{60.0}\left(s\right)}\)
Insert known values into the conversion equation to determine \({\color{rgb(20,165,174)} x}\)
\(1.0\left(lustrum\right)={\color{rgb(20,165,174)} x}\left(jiffy\right)\)
\(\text{Insert known values } =>\)
\(1.0 \times {\color{rgb(89,182,91)} 1.5768 \times 10^{8}} \times {\color{rgb(89,182,91)} \left(second\right)} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} {\color{rgb(125,164,120)} \dfrac{1.0}{60.0}}} \times {\color{rgb(125,164,120)} \left(second\right)}\)
\(\text{Or}\)
\(1.0 \cdot {\color{rgb(89,182,91)} 1.5768 \times 10^{8}} \cdot {\color{rgb(89,182,91)} \left(s\right)} = {\color{rgb(20,165,174)} x} \cdot {\color{rgb(125,164,120)} \dfrac{1.0}{60.0}} \cdot {\color{rgb(125,164,120)} \left(s\right)}\)
\(\text{Cancel SI units}\)
\(1.0 \times {\color{rgb(89,182,91)} 1.5768 \times 10^{8}} \cdot {\color{rgb(89,182,91)} \cancel{\left(s\right)}} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} \dfrac{1.0}{60.0}} \times {\color{rgb(125,164,120)} \cancel{\left(s\right)}}\)
\(\text{Conversion Equation}\)
\(1.5768 \times 10^{8} = {\color{rgb(20,165,174)} x} \times \dfrac{1.0}{60.0}\)
Switch sides
\({\color{rgb(20,165,174)} x} \times \dfrac{1.0}{60.0} = 1.5768 \times 10^{8}\)
Isolate \({\color{rgb(20,165,174)} x}\)
Multiply both sides by \(\left(\dfrac{60.0}{1.0}\right)\)
\({\color{rgb(20,165,174)} x} \times \dfrac{1.0}{60.0} \times \dfrac{60.0}{1.0} = 1.5768 \times 10^{8} \times \dfrac{60.0}{1.0}\)
\(\text{Cancel}\)
\({\color{rgb(20,165,174)} x} \times \dfrac{{\color{rgb(255,204,153)} \cancel{1.0}} \times {\color{rgb(99,194,222)} \cancel{60.0}}}{{\color{rgb(99,194,222)} \cancel{60.0}} \times {\color{rgb(255,204,153)} \cancel{1.0}}} = 1.5768 \times 10^{8} \times \dfrac{60.0}{1.0}\)
\(\text{Simplify}\)
\({\color{rgb(20,165,174)} x} = 1.5768 \times 10^{8} \times 60.0\)
Solve \({\color{rgb(20,165,174)} x}\)
\({\color{rgb(20,165,174)} x} = 9460800000 = 9.4608 \times 10^{9}\)
\(\text{Conversion Equation}\)
\(1.0\left(lustrum\right) = {\color{rgb(20,165,174)} 9.4608 \times 10^{9}}\left(jiffy\right)\)

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