Question

Divide. State any restrictions on the variables. StartFraction 35 y Over 18 z EndFraction divided by StartFraction 7 y Over 36 x EndFraction 35y 18z÷ 7y 36x

Answer 1

Answer:

The result of the division is $\frac{10x}{z}$ and the restrictions are x ≠ 0, y ≠ 0, and z ≠ 0.

Step-by-step explanation:

We have to divide the following:

$\frac{35y}{18z}\div \frac{7y}{36x}$ where z ≠ 0 and x ≠ 0.

Now, $\frac{35y}{18z}\div \frac{7y}{36x} = \frac{35y}{18z} \times \frac{36x}{7y}$ , where y ≠ 0

= $(\frac{35y}{7y})\times (\frac{36x}{18z})$

= $5 \times \frac{2x}{z}$

= $\frac{10x}{z}$

Therefore, the result of the division is $\frac{10x}{z}$ and the restrictions are x ≠ 0, y ≠ 0, and z ≠ 0. (Answer)