Basic Math Examples

$\frac{500}{60} = \frac{300}{z}$

Step 1

Rewrite the equation as

$\frac{300}{z} = \frac{500}{60}$ .

$\frac{300}{z} = \frac{500}{60}$

Step 2

Cancel the common factor of

$500$ and

$60$ .

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Step 2.1

Factor

$20$ out of

$500$ .

$\frac{300}{z} = \frac{20 (25)}{60}$

Step 2.2

Cancel the common factors.

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Step 2.2.1

Factor

$20$ out of

$60$ .

$\frac{300}{z} = \frac{20 \cdot 25}{20 \cdot 3}$

Step 2.2.2

Cancel the common factor.

$\frac{300}{z} = \frac{20 \cdot 25}{20 \cdot 3}$

Step 2.2.3

Rewrite the expression.

$\frac{300}{z} = \frac{25}{3}$

Step 3

Multiply the numerator of the first fraction by the denominator of the second fraction. Set this equal to the product of the denominator of the first fraction and the numerator of the second fraction.

$300 \cdot 3 = z \cdot 25$

Step 4

Solve the equation for

$z$ .

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Step 4.1

Rewrite the equation as

$z \cdot 25 = 300 \cdot 3$ .

$z \cdot 25 = 300 \cdot 3$

Step 4.2

Multiply

$300$ by

$3$ .

$z \cdot 25 = 900$

Step 4.3

Divide each term in

$z \cdot 25 = 900$ by

$25$ and simplify.

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Step 4.3.1

Divide each term in

$z \cdot 25 = 900$ by

$25$ .

$\frac{z \cdot 25}{25} = \frac{900}{25}$

Step 4.3.2

Simplify the left side.

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Step 4.3.2.1

Cancel the common factor of

$25$ .

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Step 4.3.2.1.1

Cancel the common factor.

$\frac{z \cdot 25}{25} = \frac{900}{25}$

Step 4.3.2.1.2

Divide

$z$ by

$1$ .

$z = \frac{900}{25}$

Step 4.3.3

Simplify the right side.

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Step 4.3.3.1

Divide

$900$ by

$25$ .

$z = 36$