Basic Math Examples

\frac{8}{15} = \frac{x}{6}

$\frac{8}{15} = \frac{x}{6}$

Step 1

Rewrite the equation as

\frac{x}{6} = \frac{8}{15}

$\frac{x}{6} = \frac{8}{15}$ .

\frac{x}{6} = \frac{8}{15}

$\frac{x}{6} = \frac{8}{15}$

Step 2

Multiply both sides of the equation by

6

$6$ .

6 \frac{x}{6} = 6 (\frac{8}{15})

$6 \frac{x}{6} = 6 (\frac{8}{15})$

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

6

$6$ .

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Step 3.1.1.1

Cancel the common factor.

6 \frac{x}{6} = 6 (\frac{8}{15})

$6 \frac{x}{6} = 6 (\frac{8}{15})$

Step 3.1.1.2

Rewrite the expression.

x = 6 (\frac{8}{15})

$x = 6 (\frac{8}{15})$

x = 6 (\frac{8}{15})

$x = 6 (\frac{8}{15})$

x = 6 (\frac{8}{15})

$x = 6 (\frac{8}{15})$

Step 3.2

Simplify the right side.

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Step 3.2.1

Simplify

6 (\frac{8}{15})

$6 (\frac{8}{15})$ .

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Step 3.2.1.1

Cancel the common factor of

3

$3$ .

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Step 3.2.1.1.1

Factor

3

$3$ out of

6

$6$ .

x = 3 (2) \frac{8}{15}

$x = 3 (2) \frac{8}{15}$

Step 3.2.1.1.2

Factor

3

$3$ out of

15

$15$ .

x = 3 \cdot 2 \frac{8}{3 \cdot 5}

$x = 3 \cdot 2 \frac{8}{3 \cdot 5}$

Step 3.2.1.1.3

Cancel the common factor.

x = 3 \cdot 2 \frac{8}{3 \cdot 5}

$x = 3 \cdot 2 \frac{8}{3 \cdot 5}$

Step 3.2.1.1.4

Rewrite the expression.

x = 2 (\frac{8}{5})

$x = 2 (\frac{8}{5})$

x = 2 (\frac{8}{5})

$x = 2 (\frac{8}{5})$

Step 3.2.1.2

Combine

2

$2$ and

\frac{8}{5}

$\frac{8}{5}$ .

x = \frac{2 \cdot 8}{5}

$x = \frac{2 \cdot 8}{5}$

Step 3.2.1.3

Multiply

2

$2$ by

8

$8$ .

x = \frac{16}{5}

$x = \frac{16}{5}$

x = \frac{16}{5}

$x = \frac{16}{5}$

x = \frac{16}{5}

$x = \frac{16}{5}$

x = \frac{16}{5}

$x = \frac{16}{5}$

Step 4

The result can be shown in multiple forms.

Exact Form:

x = \frac{16}{5}

$x = \frac{16}{5}$

Decimal Form:

x = 3.2

$x = 3.2$

Mixed Number Form:

x = 3 \frac{1}{5}

$x = 3 \frac{1}{5}$

⎡ ⎢ ⎣ \begin{matrix} x^{2} & \frac{1}{2} \sqrt{π} & \int x d x \end{matrix} ⎤ ⎥ ⎦

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