Basic Math Examples

$(5 - \frac{5}{8}) (5 + \frac{1}{5})$

Step 1

To write $5$ as a fraction with a common denominator, multiply by $\frac{8}{8}$ .

$(5 \cdot \frac{8}{8} - \frac{5}{8}) (5 + \frac{1}{5})$

Step 2

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

$(\frac{5 \cdot 8}{8} - \frac{5}{8}) (5 + \frac{1}{5})$

Step 3

Combine the numerators over the common denominator.

$\frac{5 \cdot 8 - 5}{8} (5 + \frac{1}{5})$

Step 4

Simplify the numerator.

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Step 4.1

Multiply $5$ by $8$ .

$\frac{40 - 5}{8} (5 + \frac{1}{5})$

Step 4.2

Subtract $5$ from $40$ .

$\frac{35}{8} (5 + \frac{1}{5})$

Step 5

To write $5$ as a fraction with a common denominator, multiply by $\frac{5}{5}$ .

$\frac{35}{8} (5 \cdot \frac{5}{5} + \frac{1}{5})$

Step 6

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

$\frac{35}{8} (\frac{5 \cdot 5}{5} + \frac{1}{5})$

Step 7

Combine the numerators over the common denominator.

$\frac{35}{8} \cdot \frac{5 \cdot 5 + 1}{5}$

Step 8

Simplify the numerator.

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Step 8.1

Multiply $5$ by $5$ .

$\frac{35}{8} \cdot \frac{25 + 1}{5}$

Step 8.2

Add $25$ and $1$ .

$\frac{35}{8} \cdot \frac{26}{5}$

Step 9

Cancel the common factor of $5$ .

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Step 9.1

Factor $5$ out of $35$ .

$\frac{5 (7)}{8} \cdot \frac{26}{5}$

Step 9.2

Cancel the common factor.

$\frac{5 \cdot 7}{8} \cdot \frac{26}{5}$

Step 9.3

Rewrite the expression.

$\frac{7}{8} \cdot 26$

Step 10

Cancel the common factor of $2$ .

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Step 10.1

Factor $2$ out of $8$ .

$\frac{7}{2 (4)} \cdot 26$

Step 10.2

Factor $2$ out of $26$ .

$\frac{7}{2 \cdot 4} \cdot (2 \cdot 13)$

Step 10.3

Cancel the common factor.

$\frac{7}{2 \cdot 4} \cdot (2 \cdot 13)$

Step 10.4

Rewrite the expression.

$\frac{7}{4} \cdot 13$

Step 11

Combine $\frac{7}{4}$ and $13$ .

$\frac{7 \cdot 13}{4}$

Step 12

Multiply $7$ by $13$ .

$\frac{91}{4}$

Step 13

The result can be shown in multiple forms.

Exact Form:

$\frac{91}{4}$

Decimal Form:

$22.75$

Mixed Number Form:

$22 \frac{3}{4}$