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

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

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Jillian Edgerton
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
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.
$$\displaystyle{b}={\frac{{{15}}}{{{4}}}}={3}{\frac{{{3}}}{{{4}}}}={3.75}$$
karton

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