Algebra Examples

$\frac{2}{3} h > 14$

Step 1

Multiply each term in $\frac{2}{3} h > 14$ by $\frac{3}{2}$ .

$\frac{2}{3} h \frac{3}{2} > 14 (\frac{3}{2})$

Step 2

Simplify the left side.

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Step 2.1

Combine $\frac{2}{3}$ and $h$ .

$\frac{2 h}{3} \cdot \frac{3}{2} > 14 (\frac{3}{2})$

Step 2.2

Cancel the common factor of $2$ .

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Step 2.2.1

Factor $2$ out of $2 h$ .

$\frac{2 (h)}{3} \cdot \frac{3}{2} > 14 (\frac{3}{2})$

Step 2.2.2

Cancel the common factor.

$\frac{2 h}{3} \cdot \frac{3}{2} > 14 (\frac{3}{2})$

Step 2.2.3

Rewrite the expression.

$\frac{h}{3} \cdot 3 > 14 (\frac{3}{2})$

Step 2.3

Cancel the common factor of $3$ .

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Step 2.3.1

Cancel the common factor.

$\frac{h}{3} \cdot 3 > 14 (\frac{3}{2})$

Step 2.3.2

Rewrite the expression.

$h > 14 (\frac{3}{2})$

Step 3

Simplify the right side.

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Step 3.1

Cancel the common factor of $2$ .

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Step 3.1.1

Factor $2$ out of $14$ .

$h > 2 (7) \frac{3}{2}$

Step 3.1.2

Cancel the common factor.

$h > 2 \cdot 7 \frac{3}{2}$

Step 3.1.3

Rewrite the expression.

$h > 7 \cdot 3$

Step 3.2

Multiply $7$ by $3$ .

$h > 21$

Step 4