Convert year to month
Learn how to convert
1
year to
month
step by step.
Calculation Breakdown
Set up the equation
\(1.0\left(year\right)={\color{rgb(20,165,174)} x}\left(month\right)\)
Define the base values of the selected units in relation to the SI unit \(\left(second\right)\)
\(\text{Left side: 1.0 } \left(year\right) = {\color{rgb(89,182,91)} 3.1536 \times 10^{7}\left(second\right)} = {\color{rgb(89,182,91)} 3.1536 \times 10^{7}\left(s\right)}\)
\(\text{Right side: 1.0 } \left(month\right) = {\color{rgb(125,164,120)} 2.5056 \times 10^{6}\left(second\right)} = {\color{rgb(125,164,120)} 2.5056 \times 10^{6}\left(s\right)}\)
Insert known values into the conversion equation to determine \({\color{rgb(20,165,174)} x}\)
\(1.0\left(year\right)={\color{rgb(20,165,174)} x}\left(month\right)\)
\(\text{Insert known values } =>\)
\(1.0 \times {\color{rgb(89,182,91)} 3.1536 \times 10^{7}} \times {\color{rgb(89,182,91)} \left(second\right)} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} {\color{rgb(125,164,120)} 2.5056 \times 10^{6}}} \times {\color{rgb(125,164,120)} \left(second\right)}\)
\(\text{Or}\)
\(1.0 \cdot {\color{rgb(89,182,91)} 3.1536 \times 10^{7}} \cdot {\color{rgb(89,182,91)} \left(s\right)} = {\color{rgb(20,165,174)} x} \cdot {\color{rgb(125,164,120)} 2.5056 \times 10^{6}} \cdot {\color{rgb(125,164,120)} \left(s\right)}\)
\(\text{Cancel SI units}\)
\(1.0 \times {\color{rgb(89,182,91)} 3.1536 \times 10^{7}} \cdot {\color{rgb(89,182,91)} \cancel{\left(s\right)}} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} 2.5056 \times 10^{6}} \times {\color{rgb(125,164,120)} \cancel{\left(s\right)}}\)
\(\text{Conversion Equation}\)
\(3.1536 \times 10^{7} = {\color{rgb(20,165,174)} x} \times 2.5056 \times 10^{6}\)
Cancel factors on both sides
\(\text{Cancel factors}\)
\(3.1536 \times {\color{rgb(255,204,153)} \cancelto{10}{10^{7}}} = {\color{rgb(20,165,174)} x} \times 2.5056 \times {\color{rgb(255,204,153)} \cancel{10^{6}}}\)
\(\text{Simplify}\)
\(3.1536 \times 10.0 = {\color{rgb(20,165,174)} x} \times 2.5056\)
Switch sides
\({\color{rgb(20,165,174)} x} \times 2.5056 = 3.1536 \times 10.0\)
Isolate \({\color{rgb(20,165,174)} x}\)
Multiply both sides by \(\left(\dfrac{1.0}{2.5056}\right)\)
\({\color{rgb(20,165,174)} x} \times 2.5056 \times \dfrac{1.0}{2.5056} = 3.1536 \times 10.0 \times \dfrac{1.0}{2.5056}\)
\(\text{Cancel}\)
\({\color{rgb(20,165,174)} x} \times {\color{rgb(255,204,153)} \cancel{2.5056}} \times \dfrac{1.0}{{\color{rgb(255,204,153)} \cancel{2.5056}}} = 3.1536 \times 10.0 \times \dfrac{1.0}{2.5056}\)
\(\text{Simplify}\)
\({\color{rgb(20,165,174)} x} = \dfrac{3.1536 \times 10.0}{2.5056}\)
Solve \({\color{rgb(20,165,174)} x}\)
\({\color{rgb(20,165,174)} x}\approx12.586206897\approx12.5862\)
\(\text{Conversion Equation}\)
\(1.0\left(year\right)\approx{\color{rgb(20,165,174)} 12.5862}\left(month\right)\)
