Algebra Examples

\frac{12}{7} = \frac{k}{8}

$\frac{12}{7} = \frac{k}{8}$

Step 1

Rewrite the equation as

\frac{k}{8} = \frac{12}{7}

$\frac{k}{8} = \frac{12}{7}$ .

\frac{k}{8} = \frac{12}{7}

$\frac{k}{8} = \frac{12}{7}$

Step 2

Multiply both sides of the equation by

8

$8$ .

8 \frac{k}{8} = 8 (\frac{12}{7})

$8 \frac{k}{8} = 8 (\frac{12}{7})$

Step 3

Simplify both sides of the equation.

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Step 3.1

Simplify the left side.

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Step 3.1.1

Cancel the common factor of

8

$8$ .

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Step 3.1.1.1

Cancel the common factor.

8 \frac{k}{8} = 8 (\frac{12}{7})

$8 \frac{k}{8} = 8 (\frac{12}{7})$

Step 3.1.1.2

Rewrite the expression.

k = 8 (\frac{12}{7})

$k = 8 (\frac{12}{7})$

k = 8 (\frac{12}{7})

$k = 8 (\frac{12}{7})$

k = 8 (\frac{12}{7})

$k = 8 (\frac{12}{7})$

Step 3.2

Simplify the right side.

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Step 3.2.1

Multiply

8 (\frac{12}{7})

$8 (\frac{12}{7})$ .

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Step 3.2.1.1

Combine

8

$8$ and

\frac{12}{7}

$\frac{12}{7}$ .

k = \frac{8 \cdot 12}{7}

$k = \frac{8 \cdot 12}{7}$

Step 3.2.1.2

Multiply

8

$8$ by

12

$12$ .

k = \frac{96}{7}

$k = \frac{96}{7}$

k = \frac{96}{7}

$k = \frac{96}{7}$

k = \frac{96}{7}

$k = \frac{96}{7}$

k = \frac{96}{7}

$k = \frac{96}{7}$

Step 4

The result can be shown in multiple forms.

Exact Form:

k = \frac{96}{7}

$k = \frac{96}{7}$

Decimal Form:

k = 13.71428571 \dots

$k = 13.71428571 \dots$

Mixed Number Form:

k = 13 \frac{5}{7}

$k = 13 \frac{5}{7}$

\frac{12}{7} = \frac{k}{8}

$\frac{12}{7} = \frac{k}{8}$

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[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$