Solve for x 7/(1/4)=28/x

$\frac{7}{\frac{1}{4}} = \frac{28}{x}$

Rewrite the equation as $\frac{28}{x} = \frac{7}{\frac{1}{4}}$ .

$\frac{28}{x} = \frac{7}{\frac{1}{4}}$

Factor each term.

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Multiply the numerator by the reciprocal of the denominator.

$\frac{28}{x} = 7 \cdot 4$

Multiply $7$ by $4$ .

$\frac{28}{x} = 28$

Solve for $x$ .

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Multiply each term by $x$ and simplify.

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Multiply each term in $\frac{28}{x} = 28$ by $x$ .

$\frac{28}{x} \cdot x = 28 \cdot x$

Cancel the common factor of $x$ .

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Cancel the common factor.

$\frac{28}{x} \cdot x = 28 \cdot x$

Rewrite the expression.

$28 = 28 \cdot x$

$28 = 28 x$

Rewrite the equation as $28 x = 28$ .

$28 x = 28$

Divide each term by $28$ and simplify.

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Divide each term in $28 x = 28$ by $28$ .

$\frac{28 x}{28} = \frac{28}{28}$

Cancel the common factor of $28$ .

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Cancel the common factor.

$\frac{28 x}{28} = \frac{28}{28}$

Divide $x$ by $1$ .

$x = \frac{28}{28}$

Divide $28$ by $28$ .

$x = 1$

Solve for x 7/(1/4)=28/x

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