Algebra Examples

$\frac{1}{5} \cdot a = \frac{1}{b}$

Step 1

Multiply each term in $\frac{1}{5} \cdot a = \frac{1}{b}$ by $5$ to eliminate the fractions.

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Step 1.1

Multiply each term in $\frac{1}{5} \cdot a = \frac{1}{b}$ by $5$ .

$\frac{1}{5} \cdot a \cdot 5 = \frac{1}{b} \cdot 5$

Step 1.2

Simplify the left side.

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Step 1.2.1

Combine $\frac{1}{5}$ and $a$ .

$\frac{a}{5} \cdot 5 = \frac{1}{b} \cdot 5$

Step 1.2.2

Cancel the common factor of $5$ .

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Step 1.2.2.1

Cancel the common factor.

$\frac{a}{5} \cdot 5 = \frac{1}{b} \cdot 5$

Step 1.2.2.2

Rewrite the expression.

$a = \frac{1}{b} \cdot 5$

Step 1.3

Simplify the right side.

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Step 1.3.1

Combine $\frac{1}{b}$ and $5$ .

$a = \frac{5}{b}$

Step 2

The given equation $a = \frac{5}{b}$ can not be written as $y = k x$ , so $y$ doesn't vary directly with $x$ .

$y$ doesn't vary directly with $x$