Finite Math Examples

$\frac{m y c o c k}{10} = \frac{8}{50}$

Step 1

Multiply both sides of the equation by $10$ .

$10 \frac{m y c o c k}{10} = 10 (\frac{8}{50})$

Step 2

Simplify both sides of the equation.

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Step 2.1

Simplify the left side.

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Step 2.1.1

Simplify $10 \frac{m y c o c k}{10}$ .

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Step 2.1.1.1

Cancel the common factor of $10$ .

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Step 2.1.1.1.1

Cancel the common factor.

$10 \frac{m y c o c k}{10} = 10 (\frac{8}{50})$

Step 2.1.1.1.2

Rewrite the expression.

$m y c o c k = 10 (\frac{8}{50})$

Step 2.1.1.2

Raise $c$ to the power of $1$ .

$m y (c^{1} c) o k = 10 (\frac{8}{50})$

Step 2.1.1.3

Raise $c$ to the power of $1$ .

$m y (c^{1} c^{1}) o k = 10 (\frac{8}{50})$

Step 2.1.1.4

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$m y c^{1 + 1} o k = 10 (\frac{8}{50})$

Step 2.1.1.5

Add $1$ and $1$ .

$m y c^{2} o k = 10 (\frac{8}{50})$

Step 2.2

Simplify the right side.

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Step 2.2.1

Cancel the common factor of $10$ .

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Step 2.2.1.1

Factor $10$ out of $50$ .

$m y c^{2} o k = 10 \frac{8}{10 (5)}$

Step 2.2.1.2

Cancel the common factor.

$m y c^{2} o k = 10 \frac{8}{10 \cdot 5}$

Step 2.2.1.3

Rewrite the expression.

$m y c^{2} o k = \frac{8}{5}$

Step 3

Divide each term in $m y c^{2} o k = \frac{8}{5}$ by $y c^{2} o k$ and simplify.

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Step 3.1

Divide each term in $m y c^{2} o k = \frac{8}{5}$ by $y c^{2} o k$ .

$\frac{m y c^{2} o k}{y c^{2} o k} = \frac{\frac{8}{5}}{y c^{2} o k}$

Step 3.2

Simplify the left side.

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Step 3.2.1

Cancel the common factor of $y$ .

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Step 3.2.1.1

Cancel the common factor.

$\frac{m y c^{2} o k}{y c^{2} o k} = \frac{\frac{8}{5}}{y c^{2} o k}$

Step 3.2.1.2

Rewrite the expression.

$\frac{m c^{2} o k}{c^{2} o k} = \frac{\frac{8}{5}}{y c^{2} o k}$

Step 3.2.2

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

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Step 3.2.2.1

Cancel the common factor.

$\frac{m c^{2} o k}{c^{2} o k} = \frac{\frac{8}{5}}{y c^{2} o k}$

Step 3.2.2.2

Rewrite the expression.

$\frac{m o k}{o k} = \frac{\frac{8}{5}}{y c^{2} o k}$

Step 3.2.3

Cancel the common factor of $o$ .

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Step 3.2.3.1

Cancel the common factor.

$\frac{m o k}{o k} = \frac{\frac{8}{5}}{y c^{2} o k}$

Step 3.2.3.2

Rewrite the expression.

$\frac{m k}{k} = \frac{\frac{8}{5}}{y c^{2} o k}$

Step 3.2.4

Cancel the common factor of $k$ .

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Step 3.2.4.1

Cancel the common factor.

$\frac{m k}{k} = \frac{\frac{8}{5}}{y c^{2} o k}$

Step 3.2.4.2

Divide $m$ by $1$ .

$m = \frac{\frac{8}{5}}{y c^{2} o k}$

Step 3.3

Simplify the right side.

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Step 3.3.1

Multiply the numerator by the reciprocal of the denominator.

$m = \frac{8}{5} \cdot \frac{1}{y c^{2} o k}$

Step 3.3.2

Combine.

$m = \frac{8 \cdot 1}{5 (y c^{2} o k)}$

Step 3.3.3

Multiply $8$ by $1$ .

$m = \frac{8}{5 y c^{2} o k}$