Convert year to dog year
Learn how to convert
1
year to
dog year
step by step.
Calculation Breakdown
Set up the equation
\(1.0\left(year\right)={\color{rgb(20,165,174)} x}\left(dog \text{ } year\right)\)
Define the base values of the selected units in relation to the SI unit \(\left(second\right)\)
\(\text{Left side: 1.0 } \left(year\right) = {\color{rgb(89,182,91)} 31558118.4\left(second\right)} = {\color{rgb(89,182,91)} 31558118.4\left(s\right)}\)
\(\text{Right side: 1.0 } \left(dog \text{ } year\right) = {\color{rgb(125,164,120)} 4505142.85714286\left(second\right)} = {\color{rgb(125,164,120)} 4505142.85714286\left(s\right)}\)
Insert known values into the conversion equation to determine \({\color{rgb(20,165,174)} x}\)
\(1.0\left(year\right)={\color{rgb(20,165,174)} x}\left(dog \text{ } year\right)\)
\(\text{Insert known values } =>\)
\(1.0 \times {\color{rgb(89,182,91)} 31558118.4} \times {\color{rgb(89,182,91)} \left(second\right)} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} {\color{rgb(125,164,120)} 4505142.85714286}} \times {\color{rgb(125,164,120)} \left(second\right)}\)
\(\text{Or}\)
\(1.0 \cdot {\color{rgb(89,182,91)} 31558118.4} \cdot {\color{rgb(89,182,91)} \left(s\right)} = {\color{rgb(20,165,174)} x} \cdot {\color{rgb(125,164,120)} 4505142.85714286} \cdot {\color{rgb(125,164,120)} \left(s\right)}\)
\(\text{Cancel SI units}\)
\(1.0 \times {\color{rgb(89,182,91)} 31558118.4} \cdot {\color{rgb(89,182,91)} \cancel{\left(s\right)}} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} 4505142.85714286} \times {\color{rgb(125,164,120)} \cancel{\left(s\right)}}\)
\(\text{Conversion Equation}\)
\(31558118.4 = {\color{rgb(20,165,174)} x} \times 4505142.85714286\)
Switch sides
\({\color{rgb(20,165,174)} x} \times 4505142.85714286 = 31558118.4\)
Isolate \({\color{rgb(20,165,174)} x}\)
Multiply both sides by \(\left(\dfrac{1.0}{4505142.85714286}\right)\)
\({\color{rgb(20,165,174)} x} \times 4505142.85714286 \times \dfrac{1.0}{4505142.85714286} = 31558118.4 \times \dfrac{1.0}{4505142.85714286}\)
\(\text{Cancel}\)
\({\color{rgb(20,165,174)} x} \times {\color{rgb(255,204,153)} \cancel{4505142.85714286}} \times \dfrac{1.0}{{\color{rgb(255,204,153)} \cancel{4505142.85714286}}} = 31558118.4 \times \dfrac{1.0}{4505142.85714286}\)
\(\text{Simplify}\)
\({\color{rgb(20,165,174)} x} = \dfrac{31558118.4}{4505142.85714286}\)
Solve \({\color{rgb(20,165,174)} x}\)
\({\color{rgb(20,165,174)} x}\approx7.004909589\approx7.0049\)
\(\text{Conversion Equation}\)
\(1.0\left(year\right)\approx{\color{rgb(20,165,174)} 7.0049}\left(dog \text{ } year\right)\)
