Pre-Algebra Examples

$\frac{3 x}{98 x y^{2}} \div \frac{1}{63 y}$

Step 1

To divide by a fraction, multiply by its reciprocal.

$\frac{3 x}{98 x y^{2}} (63 y)$

Step 2

Rewrite using the commutative property of multiplication.

$63 \frac{3 x}{98 x y^{2}} y$

Step 3

Cancel the common factor of $7$ .

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Step 3.1

Factor $7$ out of $63$ .

$7 (9) \frac{3 x}{98 x y^{2}} y$

Step 3.2

Factor $7$ out of $98 x y^{2}$ .

$7 (9) \frac{3 x}{7 (14 x y^{2})} y$

Step 3.3

Cancel the common factor.

$7 \cdot 9 \frac{3 x}{7 (14 x y^{2})} y$

Step 3.4

Rewrite the expression.

$9 \frac{3 x}{14 x y^{2}} y$

Step 4

Combine $9$ and $\frac{3 x}{14 x y^{2}}$ .

$\frac{9 (3 x)}{14 x y^{2}} y$

Step 5

Multiply $3$ by $9$ .

$\frac{27 x}{14 x y^{2}} y$

Step 6

Cancel the common factor of $y$ .

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Step 6.1

Factor $y$ out of $14 x y^{2}$ .

$\frac{27 x}{y (14 x y)} y$

Step 6.2

Cancel the common factor.

$\frac{27 x}{y (14 x y)} y$

Step 6.3

Rewrite the expression.

$\frac{27 x}{14 x y}$

Step 7

Cancel the common factor of $x$ .

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Step 7.1

Cancel the common factor.

$\frac{27 x}{14 x y}$

Step 7.2

Rewrite the expression.

$\frac{27}{14 y}$