Basic Math Examples

$(\frac{5}{8} \div \frac{2}{8}) (\frac{30}{8} + \frac{3}{8} - \frac{7}{8})$

Step 1

Cancel the common factor of $2$ and $8$ .

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Step 1.1

Factor $2$ out of $2$ .

$\frac{5}{8} \div \frac{2 (1)}{8} (\frac{30}{8} + \frac{3}{8} - \frac{7}{8})$

Step 1.2

Cancel the common factors.

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Step 1.2.1

Factor $2$ out of $8$ .

$\frac{5}{8} \div \frac{2 \cdot 1}{2 \cdot 4} (\frac{30}{8} + \frac{3}{8} - \frac{7}{8})$

Step 1.2.2

Cancel the common factor.

$\frac{5}{8} \div \frac{2 \cdot 1}{2 \cdot 4} (\frac{30}{8} + \frac{3}{8} - \frac{7}{8})$

Step 1.2.3

Rewrite the expression.

$\frac{5}{8} \div \frac{1}{4} (\frac{30}{8} + \frac{3}{8} - \frac{7}{8})$

Step 2

To divide by a fraction, multiply by its reciprocal.

$\frac{5}{8} \cdot 4 (\frac{30}{8} + \frac{3}{8} - \frac{7}{8})$

Step 3

Cancel the common factor of $4$ .

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Step 3.1

Factor $4$ out of $8$ .

$\frac{5}{4 (2)} \cdot 4 (\frac{30}{8} + \frac{3}{8} - \frac{7}{8})$

Step 3.2

Cancel the common factor.

$\frac{5}{4 \cdot 2} \cdot 4 (\frac{30}{8} + \frac{3}{8} - \frac{7}{8})$

Step 3.3

Rewrite the expression.

$\frac{5}{2} (\frac{30}{8} + \frac{3}{8} - \frac{7}{8})$

Step 4

Combine the numerators over the common denominator.

$\frac{5}{2} \cdot \frac{30 + 3 - 7}{8}$

Step 5

Simplify by adding and subtracting.

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Step 5.1

Add $30$ and $3$ .

$\frac{5}{2} \cdot \frac{33 - 7}{8}$

Step 5.2

Subtract $7$ from $33$ .

$\frac{5}{2} \cdot \frac{26}{8}$

Step 6

Cancel the common factor of $2$ .

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Step 6.1

Factor $2$ out of $26$ .

$\frac{5}{2} \cdot \frac{2 (13)}{8}$

Step 6.2

Cancel the common factor.

$\frac{5}{2} \cdot \frac{2 \cdot 13}{8}$

Step 6.3

Rewrite the expression.

$5 (\frac{13}{8})$

Step 7

Combine $5$ and $\frac{13}{8}$ .

$\frac{5 \cdot 13}{8}$

Step 8

Multiply $5$ by $13$ .

$\frac{65}{8}$

Step 9

The result can be shown in multiple forms.

Exact Form:

$\frac{65}{8}$

Decimal Form:

$8.125$

Mixed Number Form:

$8 \frac{1}{8}$