Basic Math Examples

$\frac{1}{\frac{5}{5}} = \frac{3}{f}$

Step 1

Rewrite the equation as $\frac{3}{f} = \frac{1}{\frac{5}{5}}$ .

$\frac{3}{f} = \frac{1}{\frac{5}{5}}$

Step 2

Factor each term.

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Step 2.1

Divide $5$ by $5$ .

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

Step 2.2

Divide $1$ by $1$ .

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

Step 3

Find the LCD of the terms in the equation.

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Step 3.1

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

$f, 1$

Step 3.2

The LCM of one and any expression is the expression.

$f$

Step 4

Multiply each term in $\frac{3}{f} = 1$ by $f$ to eliminate the fractions.

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Step 4.1

Multiply each term in $\frac{3}{f} = 1$ by $f$ .

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

Step 4.2

Simplify the left side.

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Step 4.2.1

Cancel the common factor of $f$ .

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Step 4.2.1.1

Cancel the common factor.

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

Step 4.2.1.2

Rewrite the expression.

$3 = 1 f$

Step 4.3

Simplify the right side.

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Step 4.3.1

Multiply $f$ by $1$ .

$3 = f$

Step 5

Rewrite the equation as $f = 3$ .

$f = 3$