Solve 8/15:4/9=x:5/2

Evaluate

\frac{8}{15} \div \frac{4}{9} = x \div \frac{5}{2}

Divide the terms

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\frac{6}{5} = x \div \frac{5}{2}

Divide the terms

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\frac{6}{5} = \frac{2 x}{5}

Swap the sides of the equation

\frac{2 x}{5} = \frac{6}{5}

Multiply both sides of the equation by 5

\frac{2 x}{5} \times 5 = \frac{6}{5} \times 5

Multiply the terms

2 x = 6

Divide both sides

\frac{2 x}{2} = \frac{6}{2}

Divide the numbers

x = \frac{6}{2}

Solution

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x = 3

Solve the equation