Convert fortnight to dog watch
Learn how to convert
1
fortnight to
dog watch
step by step.
Calculation Breakdown
Set up the equation
\(1.0\left(fortnight\right)={\color{rgb(20,165,174)} x}\left(dog \text{ } watch\right)\)
Define the base values of the selected units in relation to the SI unit \(\left(second\right)\)
\(\text{Left side: 1.0 } \left(fortnight\right) = {\color{rgb(89,182,91)} 1.2096 \times 10^{6}\left(second\right)} = {\color{rgb(89,182,91)} 1.2096 \times 10^{6}\left(s\right)}\)
\(\text{Right side: 1.0 } \left(dog \text{ } watch\right) = {\color{rgb(125,164,120)} 7.2 \times 10^{3}\left(second\right)} = {\color{rgb(125,164,120)} 7.2 \times 10^{3}\left(s\right)}\)
Insert known values into the conversion equation to determine \({\color{rgb(20,165,174)} x}\)
\(1.0\left(fortnight\right)={\color{rgb(20,165,174)} x}\left(dog \text{ } watch\right)\)
\(\text{Insert known values } =>\)
\(1.0 \times {\color{rgb(89,182,91)} 1.2096 \times 10^{6}} \times {\color{rgb(89,182,91)} \left(second\right)} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} {\color{rgb(125,164,120)} 7.2 \times 10^{3}}} \times {\color{rgb(125,164,120)} \left(second\right)}\)
\(\text{Or}\)
\(1.0 \cdot {\color{rgb(89,182,91)} 1.2096 \times 10^{6}} \cdot {\color{rgb(89,182,91)} \left(s\right)} = {\color{rgb(20,165,174)} x} \cdot {\color{rgb(125,164,120)} 7.2 \times 10^{3}} \cdot {\color{rgb(125,164,120)} \left(s\right)}\)
\(\text{Cancel SI units}\)
\(1.0 \times {\color{rgb(89,182,91)} 1.2096 \times 10^{6}} \cdot {\color{rgb(89,182,91)} \cancel{\left(s\right)}} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} 7.2 \times 10^{3}} \times {\color{rgb(125,164,120)} \cancel{\left(s\right)}}\)
\(\text{Conversion Equation}\)
\(1.2096 \times 10^{6} = {\color{rgb(20,165,174)} x} \times 7.2 \times 10^{3}\)
Cancel factors on both sides
\(\text{Cancel factors}\)
\(1.2096 \times {\color{rgb(255,204,153)} \cancelto{10^{3}}{10^{6}}} = {\color{rgb(20,165,174)} x} \times 7.2 \times {\color{rgb(255,204,153)} \cancel{10^{3}}}\)
\(\text{Simplify}\)
\(1.2096 \times 10^{3} = {\color{rgb(20,165,174)} x} \times 7.2\)
Switch sides
\({\color{rgb(20,165,174)} x} \times 7.2 = 1.2096 \times 10^{3}\)
Isolate \({\color{rgb(20,165,174)} x}\)
Multiply both sides by \(\left(\dfrac{1.0}{7.2}\right)\)
\({\color{rgb(20,165,174)} x} \times 7.2 \times \dfrac{1.0}{7.2} = 1.2096 \times 10^{3} \times \dfrac{1.0}{7.2}\)
\(\text{Cancel}\)
\({\color{rgb(20,165,174)} x} \times {\color{rgb(255,204,153)} \cancel{7.2}} \times \dfrac{1.0}{{\color{rgb(255,204,153)} \cancel{7.2}}} = 1.2096 \times 10^{3} \times \dfrac{1.0}{7.2}\)
\(\text{Simplify}\)
\({\color{rgb(20,165,174)} x} = \dfrac{1.2096 \times 10^{3}}{7.2}\)
Solve \({\color{rgb(20,165,174)} x}\)
\({\color{rgb(20,165,174)} x} = 168 = 1.68 \times 10^{2}\)
\(\text{Conversion Equation}\)
\(1.0\left(fortnight\right) = {\color{rgb(20,165,174)} 1.68 \times 10^{2}}\left(dog \text{ } watch\right)\)
