The solution of the given proportion. Given: \frac{3}{8}=\frac{b}{10}

Quentin Johnson 2021-12-31 Answered
The solution of the given proportion.
Given: \(\displaystyle{\frac{{{3}}}{{{8}}}}={\frac{{{b}}}{{{10}}}}\)

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Expert Answer

Jillian Edgerton
Answered 2022-01-01 Author has 1651 answers
Calculation:
The given ratios can be simplified further by doing cross product:
\(\displaystyle{\frac{{{3}}}{{{8}}}}={\frac{{{b}}}{{{10}}}}\)
\(\displaystyle{3}{\left({10}\right)}={8}{\left({b}\right)}\)
\(\displaystyle{30}={8}{b}\)
\(\displaystyle{\frac{{{8}{b}}}{{{8}}}}={\frac{{{30}}}{{{8}}}}\)
\(\displaystyle{b}={3.75}\)
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intacte87
Answered 2022-01-02 Author has 4734 answers
Step 1
\(\displaystyle{\frac{{{3}}}{{{8}}}}={\frac{{{b}}}{{{10}}}}\)
Multiply both sides by 10.
\(\displaystyle{\frac{{{3}}}{{{8}}}}\times{10}={b}\)
Express \(\displaystyle{\frac{{{3}}}{{{8}}}}\times{10}\) as a single fraction.
\(\displaystyle{\frac{{{3}\times{10}}}{{{8}}}}={b}\)
Multiply 3 and 10 to get 30.
\(\displaystyle{\frac{{{30}}}{{{8}}}}={b}\)
Reduce the fraction \(\displaystyle{\frac{{{30}}}{{{8}}}}\) to lowest terms by extracting and canceling out 2.
\(\displaystyle{\frac{{{15}}}{{{4}}}}={b}\)
Swap sides so that all variable terms are on the left hand side.
\(\displaystyle{b}={\frac{{{15}}}{{{4}}}}={3}{\frac{{{3}}}{{{4}}}}={3.75}\)
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karton
Answered 2022-01-04 Author has 8454 answers

Step 1
Given equation: \(\frac{3}{8}=\frac{b}{10}\)
The cross product is
\(3\times10=8\times b\)
Solving for b
\(b=\frac{3\times10}{8}\)
and reducing
b=3.75

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