Find Where Undefined/Discontinuous ((15y)/(98z))÷((5y)/(196x))

$\frac{15 y}{98 z} \div \frac{5 y}{196 x}$

Set the denominator in $\frac{15 y}{98 z}$ equal to $0$ to find where the expression is undefined.

$98 z = 0$

Divide each term in $98 z = 0$ by $98$ and simplify.

Divide each term in $98 z = 0$ by $98$ .

$\frac{98 z}{98} = \frac{0}{98}$

Simplify the left side.

Cancel the common factor of $98$ .

Cancel the common factor.

$\frac{98 z}{98} = \frac{0}{98}$

Divide $z$ by $1$ .

$z = \frac{0}{98}$

Simplify the right side.

Divide $0$ by $98$ .

$z = 0$

Set the denominator in $\frac{5 y}{196 x}$ equal to $0$ to find where the expression is undefined.

$196 x = 0$

Divide each term in $196 x = 0$ by $196$ and simplify.

Divide each term in $196 x = 0$ by $196$ .

$\frac{196 x}{196} = \frac{0}{196}$

Simplify the left side.

Cancel the common factor of $196$ .

Cancel the common factor.

$\frac{196 x}{196} = \frac{0}{196}$

Divide $x$ by $1$ .

$x = \frac{0}{196}$

Simplify the right side.

Divide $0$ by $196$ .

$x = 0$

Set the denominator in $\frac{\frac{15 y}{98 z}}{\frac{5 y}{196 x}}$ equal to $0$ to find where the expression is undefined.

$\frac{5 y}{196 x} = 0$

Solve for $y$ .

Set the numerator equal to zero.

$5 y = 0$

Divide each term in $5 y = 0$ by $5$ and simplify.

Divide each term in $5 y = 0$ by $5$ .

$\frac{5 y}{5} = \frac{0}{5}$

Simplify the left side.

Cancel the common factor of $5$ .

Cancel the common factor.

$\frac{5 y}{5} = \frac{0}{5}$

Divide $y$ by $1$ .

$y = \frac{0}{5}$

Simplify the right side.

Divide $0$ by $5$ .

$y = 0$

Find Where Undefined/Discontinuous ((15y)/(98z))÷((5y)/(196x))

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