Basic Math Examples

$A = \frac{60}{360} \cdot (v {(10)}^{2})$

Step 1

Rewrite the equation as $\frac{60}{360} v \cdot 10^{2} = A$ .

$\frac{60}{360} v \cdot 10^{2} = A$

Step 2

Simplify $\frac{60}{360} v \cdot 10^{2}$ .

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Step 2.1

Cancel the common factor of $60$ and $360$ .

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Step 2.1.1

Factor $60$ out of $60$ .

$\frac{60 (1)}{360} v \cdot 10^{2} = A$

Step 2.1.2

Cancel the common factors.

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Step 2.1.2.1

Factor $60$ out of $360$ .

$\frac{60 \cdot 1}{60 \cdot 6} v \cdot 10^{2} = A$

Step 2.1.2.2

Cancel the common factor.

$\frac{60 \cdot 1}{60 \cdot 6} v \cdot 10^{2} = A$

Step 2.1.2.3

Rewrite the expression.

$\frac{1}{6} v \cdot 10^{2} = A$

Step 2.2

Combine $\frac{1}{6}$ and $v$ .

$\frac{v}{6} \cdot 10^{2} = A$

Step 2.3

Raise $10$ to the power of $2$ .

$\frac{v}{6} \cdot 100 = A$

Step 2.4

Cancel the common factor of $2$ .

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Step 2.4.1

Factor $2$ out of $6$ .

$\frac{v}{2 (3)} \cdot 100 = A$

Step 2.4.2

Factor $2$ out of $100$ .

$\frac{v}{2 \cdot 3} \cdot (2 \cdot 50) = A$

Step 2.4.3

Cancel the common factor.

$\frac{v}{2 \cdot 3} \cdot (2 \cdot 50) = A$

Step 2.4.4

Rewrite the expression.

$\frac{v}{3} \cdot 50 = A$

Step 2.5

Combine $\frac{v}{3}$ and $50$ .

$\frac{v \cdot 50}{3} = A$

Step 2.6

Move $50$ to the left of $v$ .

$\frac{50 v}{3} = A$

Step 3

Multiply both sides of the equation by $\frac{3}{50}$ .

$\frac{3}{50} \cdot \frac{50 v}{3} = \frac{3}{50} A$

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 $\frac{3}{50} \cdot \frac{50 v}{3}$ .

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Step 4.1.1.1

Cancel the common factor of $3$ .

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Step 4.1.1.1.1

Cancel the common factor.

$\frac{3}{50} \cdot \frac{50 v}{3} = \frac{3}{50} A$

Step 4.1.1.1.2

Rewrite the expression.

$\frac{1}{50} (50 v) = \frac{3}{50} A$

Step 4.1.1.2

Cancel the common factor of $50$ .

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Step 4.1.1.2.1

Factor $50$ out of $50 v$ .

$\frac{1}{50} (50 (v)) = \frac{3}{50} A$

Step 4.1.1.2.2

Cancel the common factor.

$\frac{1}{50} (50 v) = \frac{3}{50} A$

Step 4.1.1.2.3

Rewrite the expression.

$v = \frac{3}{50} A$

Step 4.2

Simplify the right side.

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Step 4.2.1

Combine $\frac{3}{50}$ and $A$ .

$v = \frac{3 A}{50}$