Basic Math Examples

$\frac{15 a^{2}}{14} \cdot \frac{7}{5 a}$

Step 1

Combine.

$\frac{15 a^{2} \cdot 7}{14 (5 a)}$

Step 2

Cancel the common factor of $15$ and $5$ .

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Step 2.1

Factor $5$ out of $15 a^{2} \cdot 7$ .

$\frac{5 (3 a^{2} \cdot 7)}{14 (5 a)}$

Step 2.2

Cancel the common factors.

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Step 2.2.1

Factor $5$ out of $14 (5 a)$ .

$\frac{5 (3 a^{2} \cdot 7)}{5 (14 (a))}$

Step 2.2.2

Cancel the common factor.

$\frac{5 (3 a^{2} \cdot 7)}{5 (14 (a))}$

Step 2.2.3

Rewrite the expression.

$\frac{3 a^{2} \cdot 7}{14 (a)}$

$\frac{3 a^{2} \cdot 7}{14 (a)}$

$\frac{3 a^{2} \cdot 7}{14 (a)}$

Step 3

Cancel the common factor of $a^{2}$ and $a$ .

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Step 3.1

Factor $a$ out of $3 a^{2} \cdot 7$ .

$\frac{a (3 a \cdot 7)}{14 (a)}$

Step 3.2

Cancel the common factors.

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Step 3.2.1

Factor $a$ out of $14 (a)$ .

$\frac{a (3 a \cdot 7)}{a \cdot 14}$

Step 3.2.2

Cancel the common factor.

$\frac{a (3 a \cdot 7)}{a \cdot 14}$

Step 3.2.3

Rewrite the expression.

$\frac{3 a \cdot 7}{14}$

$\frac{3 a \cdot 7}{14}$

$\frac{3 a \cdot 7}{14}$

Step 4

Cancel the common factor of $7$ and $14$ .

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Step 4.1

Factor $7$ out of $3 a \cdot 7$ .

$\frac{7 \cdot (3 a)}{14}$

Step 4.2

Cancel the common factors.

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Step 4.2.1

Factor $7$ out of $14$ .

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

Step 4.2.2

Cancel the common factor.

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

Step 4.2.3

Rewrite the expression.

$\frac{3 a}{2}$

$\frac{3 a}{2}$

$\frac{3 a}{2}$

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