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

Nicontio1 2021-12-31 Answered
The solution of the given proportion.
Given: \(\displaystyle{\frac{{{2}}}{{{0.21}}}}={\frac{{{8}}}{{{n}}}}\)

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sukljama2
Answered 2022-01-01 Author has 3689 answers
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
Answered 2022-01-02 Author has 178 answers
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
\(\displaystyle{n}={0.84}\)
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karton
Answered 2022-01-04 Author has 8454 answers

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.
\(n=\frac{21}{25}=0.84\)

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