Basic Math Examples

$(3 + \frac{2}{5}) (3 + \frac{4}{5})$

Step 1

To write $3$ as a fraction with a common denominator, multiply by $\frac{5}{5}$ .

$(3 \cdot \frac{5}{5} + \frac{2}{5}) (3 + \frac{4}{5})$

Step 2

Combine $3$ and $\frac{5}{5}$ .

$(\frac{3 \cdot 5}{5} + \frac{2}{5}) (3 + \frac{4}{5})$

Step 3

Combine the numerators over the common denominator.

$\frac{3 \cdot 5 + 2}{5} (3 + \frac{4}{5})$

Step 4

Simplify the numerator.

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Step 4.1

Multiply $3$ by $5$ .

$\frac{15 + 2}{5} (3 + \frac{4}{5})$

Step 4.2

Add $15$ and $2$ .

$\frac{17}{5} (3 + \frac{4}{5})$

Step 5

To write $3$ as a fraction with a common denominator, multiply by $\frac{5}{5}$ .

$\frac{17}{5} (3 \cdot \frac{5}{5} + \frac{4}{5})$

Step 6

Combine $3$ and $\frac{5}{5}$ .

$\frac{17}{5} (\frac{3 \cdot 5}{5} + \frac{4}{5})$

Step 7

Combine the numerators over the common denominator.

$\frac{17}{5} \cdot \frac{3 \cdot 5 + 4}{5}$

Step 8

Simplify the numerator.

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Step 8.1

Multiply $3$ by $5$ .

$\frac{17}{5} \cdot \frac{15 + 4}{5}$

Step 8.2

Add $15$ and $4$ .

$\frac{17}{5} \cdot \frac{19}{5}$

Step 9

Multiply $\frac{17}{5} \cdot \frac{19}{5}$ .

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Step 9.1

Multiply $\frac{17}{5}$ by $\frac{19}{5}$ .

$\frac{17 \cdot 19}{5 \cdot 5}$

Step 9.2

Multiply $17$ by $19$ .

$\frac{323}{5 \cdot 5}$

Step 9.3

Multiply $5$ by $5$ .

$\frac{323}{25}$

Step 10

The result can be shown in multiple forms.

Exact Form:

$\frac{323}{25}$

Decimal Form:

$12.92$

Mixed Number Form:

$12 \frac{23}{25}$