Convert clove to assay ton
Learn how to convert
1
clove to
assay ton
step by step.
Calculation Breakdown
Set up the equation
\(1.0\left(clove\right)={\color{rgb(20,165,174)} x}\left(assay \text{ } ton\right)\)
Define the base values of the selected units in relation to the SI unit \(\left({\color{rgb(230,179,255)} kilo}gram\right)\)
\(\text{Left side: 1.0 } \left(clove\right) = {\color{rgb(89,182,91)} 3.62873896\left({\color{rgb(230,179,255)} kilo}gram\right)} = {\color{rgb(89,182,91)} 3.62873896\left({\color{rgb(230,179,255)} k}g\right)}\)
\(\text{Right side: 1.0 } \left(assay \text{ } ton\right) = {\color{rgb(125,164,120)} \dfrac{7.0}{2.4 \times 10^{2}}\left({\color{rgb(230,179,255)} kilo}gram\right)} = {\color{rgb(125,164,120)} \dfrac{7.0}{2.4 \times 10^{2}}\left({\color{rgb(230,179,255)} k}g\right)}\)
Insert known values into the conversion equation to determine \({\color{rgb(20,165,174)} x}\)
\(1.0\left(clove\right)={\color{rgb(20,165,174)} x}\left(assay \text{ } ton\right)\)
\(\text{Insert known values } =>\)
\(1.0 \times {\color{rgb(89,182,91)} 3.62873896} \times {\color{rgb(89,182,91)} \left({\color{rgb(230,179,255)} kilo}gram\right)} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} {\color{rgb(125,164,120)} \dfrac{7.0}{2.4 \times 10^{2}}}} \times {\color{rgb(125,164,120)} \left({\color{rgb(230,179,255)} kilo}gram\right)}\)
\(\text{Or}\)
\(1.0 \cdot {\color{rgb(89,182,91)} 3.62873896} \cdot {\color{rgb(89,182,91)} \left({\color{rgb(230,179,255)} k}g\right)} = {\color{rgb(20,165,174)} x} \cdot {\color{rgb(125,164,120)} \dfrac{7.0}{2.4 \times 10^{2}}} \cdot {\color{rgb(125,164,120)} \left({\color{rgb(230,179,255)} k}g\right)}\)
\(\text{Cancel SI units}\)
\(1.0 \times {\color{rgb(89,182,91)} 3.62873896} \cdot {\color{rgb(89,182,91)} \cancel{\left({\color{rgb(230,179,255)} k}g\right)}} = {\color{rgb(20,165,174)} x} \times {\color{rgb(125,164,120)} \dfrac{7.0}{2.4 \times 10^{2}}} \times {\color{rgb(125,164,120)} \cancel{\left({\color{rgb(230,179,255)} k}g\right)}}\)
\(\text{Conversion Equation}\)
\(3.62873896 = {\color{rgb(20,165,174)} x} \times \dfrac{7.0}{2.4 \times 10^{2}}\)
Switch sides
\({\color{rgb(20,165,174)} x} \times \dfrac{7.0}{2.4 \times 10^{2}} = 3.62873896\)
Isolate \({\color{rgb(20,165,174)} x}\)
Multiply both sides by \(\left(\dfrac{2.4 \times 10^{2}}{7.0}\right)\)
\({\color{rgb(20,165,174)} x} \times \dfrac{7.0}{2.4 \times 10^{2}} \times \dfrac{2.4 \times 10^{2}}{7.0} = 3.62873896 \times \dfrac{2.4 \times 10^{2}}{7.0}\)
\(\text{Cancel}\)
\({\color{rgb(20,165,174)} x} \times \dfrac{{\color{rgb(255,204,153)} \cancel{7.0}} \times {\color{rgb(99,194,222)} \cancel{2.4}} \times {\color{rgb(166,218,227)} \cancel{10^{2}}}}{{\color{rgb(99,194,222)} \cancel{2.4}} \times {\color{rgb(166,218,227)} \cancel{10^{2}}} \times {\color{rgb(255,204,153)} \cancel{7.0}}} = 3.62873896 \times \dfrac{2.4 \times 10^{2}}{7.0}\)
\(\text{Simplify}\)
\({\color{rgb(20,165,174)} x} = \dfrac{3.62873896 \times 2.4 \times 10^{2}}{7.0}\)
Solve \({\color{rgb(20,165,174)} x}\)
\({\color{rgb(20,165,174)} x} = 124.4139072\approx1.2441 \times 10^{2}\)
\(\text{Conversion Equation}\)
\(1.0\left(clove\right)\approx{\color{rgb(20,165,174)} 1.2441 \times 10^{2}}\left(assay \text{ } ton\right)\)
