Basic Math Examples

$100 = \frac{1}{3} d \cdot h$

Step 1

Rewrite the equation as $\frac{1}{3} d \cdot h = 100$ .

$\frac{1}{3} d \cdot h = 100$

Step 2

Divide each term in $\frac{1}{3} d \cdot h = 100$ by $\frac{1}{3} h$ and simplify.

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Step 2.1

Divide each term in $\frac{1}{3} d \cdot h = 100$ by $\frac{1}{3} h$ .

$\frac{\frac{1}{3} d \cdot h}{\frac{1}{3} h} = \frac{100}{\frac{1}{3} h}$

Step 2.2

Simplify the left side.

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Step 2.2.1

Cancel the common factor of $\frac{1}{3}$ .

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Step 2.2.1.1

Cancel the common factor.

$\frac{\frac{1}{3} d \cdot h}{\frac{1}{3} h} = \frac{100}{\frac{1}{3} h}$

Step 2.2.1.2

Rewrite the expression.

$\frac{d \cdot h}{h} = \frac{100}{\frac{1}{3} h}$

Step 2.2.2

Cancel the common factor of $h$ .

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Step 2.2.2.1

Cancel the common factor.

$\frac{d \cdot h}{h} = \frac{100}{\frac{1}{3} h}$

Step 2.2.2.2

Divide $d$ by $1$ .

$d = \frac{100}{\frac{1}{3} h}$

Step 2.3

Simplify the right side.

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Step 2.3.1

Combine $\frac{1}{3}$ and $h$ .

$d = \frac{100}{\frac{h}{3}}$

Step 2.3.2

Multiply the numerator by the reciprocal of the denominator.

$d = 100 \frac{3}{h}$

Step 2.3.3

Multiply $100 \frac{3}{h}$ .

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Step 2.3.3.1

Combine $100$ and $\frac{3}{h}$ .

$d = \frac{100 \cdot 3}{h}$

Step 2.3.3.2

Multiply $100$ by $3$ .

$d = \frac{300}{h}$