# The solution of the given proportion. Given: \frac{2}{0.21}=\frac{8}{n}

The solution of the given proportion.
Given: $$\displaystyle{\frac{{{2}}}{{{0.21}}}}={\frac{{{8}}}{{{n}}}}$$

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sukljama2
Calculation:
The given ratios can be simplified further by doing cross product:
$$\displaystyle{\frac{{{2}}}{{{0.21}}}}={\frac{{{8}}}{{{n}}}}$$
$$\displaystyle{2}{\left({n}\right)}={8}{\left({0.21}\right)}$$
$$\displaystyle{2}{n}={1.68}$$
$$\displaystyle{\frac{{{2}{n}}}{{{2}}}}={\frac{{{1.68}}}{{{2}}}}$$
$$\displaystyle{n}={0.84}$$
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enlacamig
For the equation
$$\displaystyle{\frac{{{2}}}{{{0.21}}}}={\frac{{{8}}}{{{n}}}}$$
Cross product:
$$\displaystyle{2}\times{n}={0.21}\times{8}$$
Solving for n
$$\displaystyle{n}={\frac{{{0.21}\times{8}}}{{{2}}}}$$
reducing
$$\displaystyle{n}={0.84}$$
karton

Step 1
$$\frac{2}{0.21}=\frac{8}{n}$$
Variable n cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by n.
$$n\times(\frac{2}{0.21})=8$$
Expland $$\frac{2}{0.21}$$ by multiplying both numerator and the denominator by 100.
$$n\times(\frac{200}{21})=8$$
Multiply both sides by $$\frac{21}{200}$$, the reciprocal of $$\frac{200}{21}$$
$$n=8\times(\frac{21}{200})$$
Express $$8\times(\frac{21}{200})$$ as a single fraction
$$n=\frac{8\times21}{200}$$
Multiply 8 and 21 to get 168.
$$n=\frac{168}{200}$$
Reduce the fraction $$\frac{168}{200}$$ to lowest terms by extracting and canceling out 8.
$$n=\frac{21}{25}=0.84$$