Convert dram to rebah
Learn how to convert
1
dram to
rebah
step by step.
Calculation Breakdown
Set up the equation
\(1.0\left(dram\right)={\color{rgb(20,165,174)} x}\left(rebah\right)\)
Define the base values of the selected units in relation to the SI unit \(\left({\color{rgb(230,179,255)} kilo}gram\right)\)
\(\text{Left side: 1.0 } \left(dram\right) = {\color{rgb(89,182,91)} 3.8879346 \times 10^{-3}\left({\color{rgb(230,179,255)} kilo}gram\right)} = {\color{rgb(89,182,91)} 3.8879346 \times 10^{-3}\left({\color{rgb(230,179,255)} k}g\right)}\)
\(\text{Right side: 1.0 } \left(rebah\right) = {\color{rgb(125,164,120)} 4.08233133 \times 10^{-3}\left({\color{rgb(230,179,255)} kilo}gram\right)} = {\color{rgb(125,164,120)} 4.08233133 \times 10^{-3}\left({\color{rgb(230,179,255)} k}g\right)}\)
Insert known values into the conversion equation to determine \({\color{rgb(20,165,174)} x}\)
\(1.0\left(dram\right)={\color{rgb(20,165,174)} x}\left(rebah\right)\)
\(\text{Insert known values } =>\)
\(1.0 \times {\color{rgb(89,182,91)} 3.8879346 \times 10^{-3}} \times {\color{rgb(89,182,91)} \left({\color{rgb(230,179,255)} kilo}gram\right)} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} {\color{rgb(125,164,120)} 4.08233133 \times 10^{-3}}} \times {\color{rgb(125,164,120)} \left({\color{rgb(230,179,255)} kilo}gram\right)}\)
\(\text{Or}\)
\(1.0 \cdot {\color{rgb(89,182,91)} 3.8879346 \times 10^{-3}} \cdot {\color{rgb(89,182,91)} \left({\color{rgb(230,179,255)} k}g\right)} = {\color{rgb(20,165,174)} x} \cdot {\color{rgb(125,164,120)} 4.08233133 \times 10^{-3}} \cdot {\color{rgb(125,164,120)} \left({\color{rgb(230,179,255)} k}g\right)}\)
\(\text{Cancel SI units}\)
\(1.0 \times {\color{rgb(89,182,91)} 3.8879346 \times 10^{-3}} \cdot {\color{rgb(89,182,91)} \cancel{\left({\color{rgb(230,179,255)} k}g\right)}} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} 4.08233133 \times 10^{-3}} \times {\color{rgb(125,164,120)} \cancel{\left({\color{rgb(230,179,255)} k}g\right)}}\)
\(\text{Conversion Equation}\)
\(3.8879346 \times 10^{-3} = {\color{rgb(20,165,174)} x} \times 4.08233133 \times 10^{-3}\)
Cancel factors on both sides
\(\text{Cancel factors}\)
\(3.8879346 \times {\color{rgb(255,204,153)} \cancel{10^{-3}}} = {\color{rgb(20,165,174)} x} \times 4.08233133 \times {\color{rgb(255,204,153)} \cancel{10^{-3}}}\)
\(\text{Simplify}\)
\(3.8879346 = {\color{rgb(20,165,174)} x} \times 4.08233133\)
Switch sides
\({\color{rgb(20,165,174)} x} \times 4.08233133 = 3.8879346\)
Isolate \({\color{rgb(20,165,174)} x}\)
Multiply both sides by \(\left(\dfrac{1.0}{4.08233133}\right)\)
\({\color{rgb(20,165,174)} x} \times 4.08233133 \times \dfrac{1.0}{4.08233133} = 3.8879346 \times \dfrac{1.0}{4.08233133}\)
\(\text{Cancel}\)
\({\color{rgb(20,165,174)} x} \times {\color{rgb(255,204,153)} \cancel{4.08233133}} \times \dfrac{1.0}{{\color{rgb(255,204,153)} \cancel{4.08233133}}} = 3.8879346 \times \dfrac{1.0}{4.08233133}\)
\(\text{Simplify}\)
\({\color{rgb(20,165,174)} x} = \dfrac{3.8879346}{4.08233133}\)
Solve \({\color{rgb(20,165,174)} x}\)
\({\color{rgb(20,165,174)} x}\approx0.9523809524\approx9.5238 \times 10^{-1}\)
\(\text{Conversion Equation}\)
\(1.0\left(dram\right)\approx{\color{rgb(20,165,174)} 9.5238 \times 10^{-1}}\left(rebah\right)\)
