Algebra Examples

$\frac{21 y}{50 z} \div \frac{7 y}{100 x}$

Step 1

Set the denominator in $\frac{21 y}{50 z}$ equal to $0$ to find where the expression is undefined.

$50 z = 0$

Step 2

Divide each term in $50 z = 0$ by $50$ and simplify.

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Step 2.1

Divide each term in $50 z = 0$ by $50$ .

$\frac{50 z}{50} = \frac{0}{50}$

Step 2.2

Simplify the left side.

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Step 2.2.1

Cancel the common factor of $50$ .

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Step 2.2.1.1

Cancel the common factor.

$\frac{50 z}{50} = \frac{0}{50}$

Step 2.2.1.2

Divide $z$ by $1$ .

$z = \frac{0}{50}$

Step 2.3

Simplify the right side.

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Step 2.3.1

Divide $0$ by $50$ .

$z = 0$

Step 3

Set the denominator in $\frac{7 y}{100 x}$ equal to $0$ to find where the expression is undefined.

$100 x = 0$

Step 4

Divide each term in $100 x = 0$ by $100$ and simplify.

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Step 4.1

Divide each term in $100 x = 0$ by $100$ .

$\frac{100 x}{100} = \frac{0}{100}$

Step 4.2

Simplify the left side.

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Step 4.2.1

Cancel the common factor of $100$ .

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Step 4.2.1.1

Cancel the common factor.

$\frac{100 x}{100} = \frac{0}{100}$

Step 4.2.1.2

Divide $x$ by $1$ .

$x = \frac{0}{100}$

Step 4.3

Simplify the right side.

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Step 4.3.1

Divide $0$ by $100$ .

$x = 0$

Step 5

Set the denominator in $\frac{21 y}{50 z} \div \frac{7 y}{100 x}$ equal to $0$ to find where the expression is undefined.

$\frac{7 y}{100 x} = 0$

Step 6

Solve for $y$ .

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Step 6.1

Set the numerator equal to zero.

$7 y = 0$

Step 6.2

Divide each term in $7 y = 0$ by $7$ and simplify.

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Step 6.2.1

Divide each term in $7 y = 0$ by $7$ .

$\frac{7 y}{7} = \frac{0}{7}$

Step 6.2.2

Simplify the left side.

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Step 6.2.2.1

Cancel the common factor of $7$ .

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Step 6.2.2.1.1

Cancel the common factor.

$\frac{7 y}{7} = \frac{0}{7}$

Step 6.2.2.1.2

Divide $y$ by $1$ .

$y = \frac{0}{7}$

Step 6.2.3

Simplify the right side.

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Step 6.2.3.1

Divide $0$ by $7$ .

$y = 0$

Step 7