Basic Math Examples

$\frac{7 a^{7}}{18} \div \frac{a^{4}}{63}$

Step 1

To divide by a fraction, multiply by its reciprocal.

$\frac{7 a^{7}}{18} \cdot \frac{63}{a^{4}}$

Step 2

Combine.

$\frac{7 a^{7} \cdot 63}{18 a^{4}}$

Step 3

Cancel the common factor of $a^{7}$ and $a^{4}$ .

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Step 3.1

Factor $a^{4}$ out of $7 a^{7} \cdot 63$ .

$\frac{a^{4} (7 a^{3} \cdot 63)}{18 a^{4}}$

Step 3.2

Cancel the common factors.

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Step 3.2.1

Factor $a^{4}$ out of $18 a^{4}$ .

$\frac{a^{4} (7 a^{3} \cdot 63)}{a^{4} \cdot 18}$

Step 3.2.2

Cancel the common factor.

$\frac{a^{4} (7 a^{3} \cdot 63)}{a^{4} \cdot 18}$

Step 3.2.3

Rewrite the expression.

$\frac{7 a^{3} \cdot 63}{18}$

$\frac{7 a^{3} \cdot 63}{18}$

$\frac{7 a^{3} \cdot 63}{18}$

Step 4

Cancel the common factor of $63$ and $18$ .

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Step 4.1

Factor $9$ out of $7 a^{3} \cdot 63$ .

$\frac{9 (7 a^{3} \cdot 7)}{18}$

Step 4.2

Cancel the common factors.

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Step 4.2.1

Factor $9$ out of $18$ .

$\frac{9 (7 a^{3} \cdot 7)}{9 (2)}$

Step 4.2.2

Cancel the common factor.

$\frac{9 (7 a^{3} \cdot 7)}{9 \cdot 2}$

Step 4.2.3

Rewrite the expression.

$\frac{7 a^{3} \cdot 7}{2}$

$\frac{7 a^{3} \cdot 7}{2}$

$\frac{7 a^{3} \cdot 7}{2}$

Step 5

Multiply $7$ by $7$ .

$\frac{49 a^{3}}{2}$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$