Best solutions to - "The solution of the given proportion. Given: 20.21=8n"

High School
Algebra
Pre-Algebra
Ratios, rates, proportions

aramutselv

Answered question

2021-12-19

The solution of the given proportion.
Given:

\frac{2}{0.21} = \frac{8}{n}

Answer & Explanation

movingsupplyw1

Beginner2021-12-20Added 30 answers

Calculation:
The given ratios can be simplified further by doing cross product:

\frac{2}{0.21} = \frac{8}{n}

2 (n) = 8 (0.21)

2 n = 1.68

\frac{2 n}{2} = \frac{1.68}{2}

n = 0.84

puhnut1m

Beginner2021-12-21Added 33 answers

Step 1
Given:

\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

Expand

\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 \times 21}{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}

nick1337

Expert2021-12-28Added 777 answers

Solution by Cross Multiplication
For the equation
$\frac{2}{0.21} = \frac{8}{n}$
The cross product is
$2 \times n = 0.21 \times 8$
Solving for n
$n = \frac{0.21 \times 8}{2}$
and reducing n=0.84

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