Basic Math Examples

\frac{5}{8} = \frac{a}{64}

$\frac{5}{8} = \frac{a}{64}$

Step 1

Rewrite the equation as

\frac{a}{64} = \frac{5}{8}

$\frac{a}{64} = \frac{5}{8}$ .

\frac{a}{64} = \frac{5}{8}

$\frac{a}{64} = \frac{5}{8}$

Step 2

Multiply both sides of the equation by

64

$64$ .

64 \frac{a}{64} = 64 (\frac{5}{8})

$64 \frac{a}{64} = 64 (\frac{5}{8})$

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

64

$64$ .

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Step 3.1.1.1

Cancel the common factor.

64 \frac{a}{64} = 64 (\frac{5}{8})

$64 \frac{a}{64} = 64 (\frac{5}{8})$

Step 3.1.1.2

Rewrite the expression.

a = 64 (\frac{5}{8})

$a = 64 (\frac{5}{8})$

a = 64 (\frac{5}{8})

$a = 64 (\frac{5}{8})$

a = 64 (\frac{5}{8})

$a = 64 (\frac{5}{8})$

Step 3.2

Simplify the right side.

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Step 3.2.1

Simplify

64 (\frac{5}{8})

$64 (\frac{5}{8})$ .

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Step 3.2.1.1

Cancel the common factor of

8

$8$ .

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Step 3.2.1.1.1

Factor

8

$8$ out of

64

$64$ .

a = 8 (8) \frac{5}{8}

$a = 8 (8) \frac{5}{8}$

Step 3.2.1.1.2

Cancel the common factor.

a = 8 \cdot 8 \frac{5}{8}

$a = 8 \cdot 8 \frac{5}{8}$

Step 3.2.1.1.3

Rewrite the expression.

a = 8 \cdot 5

$a = 8 \cdot 5$

a = 8 \cdot 5

$a = 8 \cdot 5$

Step 3.2.1.2

Multiply

8

$8$ by

5

$5$ .

a = 40

$a = 40$

a = 40

$a = 40$

a = 40

$a = 40$

a = 40

$a = 40$

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

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