Find Where Undefined/Discontinuous ((21y)/(50z))÷((7y)/(100x))

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

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

$50 z = 0$

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

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

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

Simplify the left side.

Cancel the common factor of $50$ .

Cancel the common factor.

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

Divide $z$ by $1$ .

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

Simplify the right side.

Divide $0$ by $50$ .

$z = 0$

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

$100 x = 0$

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

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

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

Simplify the left side.

Cancel the common factor of $100$ .

Cancel the common factor.

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

Divide $x$ by $1$ .

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

Simplify the right side.

Divide $0$ by $100$ .

$x = 0$

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

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

Solve for $y$ .

Set the numerator equal to zero.

$7 y = 0$

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

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

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

Simplify the left side.

Cancel the common factor of $7$ .

Cancel the common factor.

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

Divide $y$ by $1$ .

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

Simplify the right side.

Divide $0$ by $7$ .

$y = 0$

Find Where Undefined/Discontinuous ((21y)/(50z))÷((7y)/(100x))

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