Algebra Examples

$3 \cdot 1 = \frac{72}{f}$

Rewrite the equation as $\frac{72}{f} = 3 \cdot 1$ .

$\frac{72}{f} = 3 \cdot 1$

Multiply $3$ by $1$ .

$\frac{72}{f} = 3$

Find the LCD of the terms in the equation.

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Finding the LCD of a list of values is the same as finding the LCM of the denominators of those values.

$f, 1$

The LCM of one and any expression is the expression.

$f$

Multiply each term in $\frac{72}{f} = 3$ by $f$ to eliminate the fractions.

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Multiply each term in $\frac{72}{f} = 3$ by $f$ .

$\frac{72}{f} f = 3 f$

Simplify the left side.

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Cancel the common factor of $f$ .

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Cancel the common factor.

$\frac{72}{f} f = 3 f$

Rewrite the expression.

$72 = 3 f$

Solve the equation.

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Rewrite the equation as $3 f = 72$ .

$3 f = 72$

Divide each term in $3 f = 72$ by $3$ and simplify.

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Divide each term in $3 f = 72$ by $3$ .

$\frac{3 f}{3} = \frac{72}{3}$

Simplify the left side.

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Cancel the common factor of $3$ .

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Cancel the common factor.

$\frac{3 f}{3} = \frac{72}{3}$

Divide $f$ by $1$ .

$f = \frac{72}{3}$

Simplify the right side.

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Divide $72$ by $3$ .

$f = 24$