Basic Math Examples

$\frac{15 h^{2} j}{14 j} \div 20 h^{2}$

Step 1

Rewrite the division as a fraction.

$\frac{\frac{15 h^{2} j}{14 j}}{20 h^{2}}$

Step 2

Cancel the common factor of $j$ .

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Step 2.1

Cancel the common factor.

$\frac{\frac{15 h^{2} j}{14 j}}{20 h^{2}}$

Step 2.2

Rewrite the expression.

$\frac{\frac{15 h^{2}}{14}}{20 h^{2}}$

$\frac{\frac{15 h^{2}}{14}}{20 h^{2}}$

Step 3

Multiply the numerator by the reciprocal of the denominator.

$\frac{15 h^{2}}{14} \cdot \frac{1}{20 h^{2}}$

Step 4

Simplify terms.

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Step 4.1

Combine.

$\frac{15 h^{2} \cdot 1}{14 (20 h^{2})}$

Step 4.2

Cancel the common factor of $15$ and $20$ .

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Step 4.2.1

Factor $5$ out of $15 h^{2} \cdot 1$ .

$\frac{5 (3 h^{2} \cdot 1)}{14 (20 h^{2})}$

Step 4.2.2

Cancel the common factors.

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Step 4.2.2.1

Factor $5$ out of $14 (20 h^{2})$ .

$\frac{5 (3 h^{2} \cdot 1)}{5 (14 (4 h^{2}))}$

Step 4.2.2.2

Cancel the common factor.

$\frac{5 (3 h^{2} \cdot 1)}{5 (14 (4 h^{2}))}$

Step 4.2.2.3

Rewrite the expression.

$\frac{3 h^{2} \cdot 1}{14 (4 h^{2})}$

$\frac{3 h^{2} \cdot 1}{14 (4 h^{2})}$

$\frac{3 h^{2} \cdot 1}{14 (4 h^{2})}$

Step 4.3

Cancel the common factor of $h^{2}$ .

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Step 4.3.1

Cancel the common factor.

$\frac{3 h^{2} \cdot 1}{14 (4 h^{2})}$

Step 4.3.2

Rewrite the expression.

$\frac{3 \cdot 1}{14 \cdot (4)}$

$\frac{3 \cdot 1}{14 \cdot (4)}$

Step 4.4

Multiply $3$ by $1$ .

$\frac{3}{14 \cdot (4)}$

$\frac{3}{14 \cdot (4)}$

Step 5

Multiply $14$ by $4$ .

$\frac{3}{56}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$\frac{3}{56}$

Decimal Form:

$0.05357142 \dots$

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