Basic Math Examples

$104 = \frac{1}{2} h \cdot 13$

Step 1

Rewrite the equation as $\frac{1}{2} h \cdot 13 = 104$ .

$\frac{1}{2} h \cdot 13 = 104$

Step 2

Simplify $\frac{1}{2} h \cdot 13$ .

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Step 2.1

Combine $\frac{1}{2}$ and $h$ .

$\frac{h}{2} \cdot 13 = 104$

Step 2.2

Combine $\frac{h}{2}$ and $13$ .

$\frac{h \cdot 13}{2} = 104$

Step 2.3

Move $13$ to the left of $h$ .

$\frac{13 h}{2} = 104$

Step 3

Multiply both sides of the equation by $\frac{2}{13}$ .

$\frac{2}{13} \cdot \frac{13 h}{2} = \frac{2}{13} \cdot 104$

Step 4

Simplify both sides of the equation.

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Step 4.1

Simplify the left side.

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Step 4.1.1

Simplify $\frac{2}{13} \cdot \frac{13 h}{2}$ .

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Step 4.1.1.1

Cancel the common factor of $2$ .

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Step 4.1.1.1.1

Cancel the common factor.

$\frac{2}{13} \cdot \frac{13 h}{2} = \frac{2}{13} \cdot 104$

Step 4.1.1.1.2

Rewrite the expression.

$\frac{1}{13} (13 h) = \frac{2}{13} \cdot 104$

Step 4.1.1.2

Cancel the common factor of $13$ .

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Step 4.1.1.2.1

Factor $13$ out of $13 h$ .

$\frac{1}{13} (13 (h)) = \frac{2}{13} \cdot 104$

Step 4.1.1.2.2

Cancel the common factor.

$\frac{1}{13} (13 h) = \frac{2}{13} \cdot 104$

Step 4.1.1.2.3

Rewrite the expression.

$h = \frac{2}{13} \cdot 104$

Step 4.2

Simplify the right side.

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Step 4.2.1

Simplify $\frac{2}{13} \cdot 104$ .

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Step 4.2.1.1

Cancel the common factor of $13$ .

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Step 4.2.1.1.1

Factor $13$ out of $104$ .

$h = \frac{2}{13} \cdot (13 (8))$

Step 4.2.1.1.2

Cancel the common factor.

$h = \frac{2}{13} \cdot (13 \cdot 8)$

Step 4.2.1.1.3

Rewrite the expression.

$h = 2 \cdot 8$

Step 4.2.1.2

Multiply $2$ by $8$ .

$h = 16$