Basic Math Examples

$\frac{\frac{a z}{3 y}}{\frac{5 z}{7 b}}$

Step 1

Multiply the numerator by the reciprocal of the denominator.

$\frac{a z}{3 y} \cdot \frac{7 b}{5 z}$

Step 2

Cancel the common factor of $z$ .

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Step 2.1

Factor $z$ out of $a z$ .

$\frac{z a}{3 y} \cdot \frac{7 b}{5 z}$

Step 2.2

Factor $z$ out of $5 z$ .

$\frac{z a}{3 y} \cdot \frac{7 b}{z \cdot 5}$

Step 2.3

Cancel the common factor.

$\frac{z a}{3 y} \cdot \frac{7 b}{z \cdot 5}$

Step 2.4

Rewrite the expression.

$\frac{a}{3 y} \cdot \frac{7 b}{5}$

Step 3

Multiply $\frac{a}{3 y}$ by $\frac{7 b}{5}$ .

$\frac{a (7 b)}{3 y \cdot 5}$

Step 4

Simplify the expression.

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Step 4.1

Multiply $5$ by $3$ .

$\frac{a (7 b)}{15 y}$

Step 4.2

Move $7$ to the left of $a$ .

$\frac{7 a b}{15 y}$