Basic Math Examples

$\frac{0.6}{1} = \frac{30}{z}$

Step 1

Rewrite the equation as $\frac{30}{z} = \frac{0.6}{1}$ .

$\frac{30}{z} = \frac{0.6}{1}$

Step 2

Divide $0.6$ by $1$ .

$\frac{30}{z} = 0.6$

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.

$z, 1$

Step 3.2

The LCM of one and any expression is the expression.

$z$

Step 4

Multiply each term in $\frac{30}{z} = 0.6$ by $z$ to eliminate the fractions.

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Step 4.1

Multiply each term in $\frac{30}{z} = 0.6$ by $z$ .

$\frac{30}{z} z = 0.6 z$

Step 4.2

Simplify the left side.

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Step 4.2.1

Cancel the common factor of $z$ .

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Step 4.2.1.1

Cancel the common factor.

$\frac{30}{z} z = 0.6 z$

Step 4.2.1.2

Rewrite the expression.

$30 = 0.6 z$

Step 5

Solve the equation.

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Step 5.1

Rewrite the equation as $0.6 z = 30$ .

$0.6 z = 30$

Step 5.2

Divide each term in $0.6 z = 30$ by $0.6$ and simplify.

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Step 5.2.1

Divide each term in $0.6 z = 30$ by $0.6$ .

$\frac{0.6 z}{0.6} = \frac{30}{0.6}$

Step 5.2.2

Simplify the left side.

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Step 5.2.2.1

Cancel the common factor of $0.6$ .

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Step 5.2.2.1.1

Cancel the common factor.

$\frac{0.6 z}{0.6} = \frac{30}{0.6}$

Step 5.2.2.1.2

Divide $z$ by $1$ .

$z = \frac{30}{0.6}$

Step 5.2.3

Simplify the right side.

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Step 5.2.3.1

Divide $30$ by $0.6$ .

$z = 50$