Finite Math Examples

$5 (\frac{28}{13}) + 2 (\frac{69}{13})$

Step 1

Simplify each term.

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Step 1.1

Multiply $5 (\frac{28}{13})$ .

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Step 1.1.1

Combine $5$ and $\frac{28}{13}$ .

$\frac{5 \cdot 28}{13} + 2 (\frac{69}{13})$

Step 1.1.2

Multiply $5$ by $28$ .

$\frac{140}{13} + 2 (\frac{69}{13})$

$\frac{140}{13} + 2 (\frac{69}{13})$

Step 1.2

Multiply $2 (\frac{69}{13})$ .

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Step 1.2.1

Combine $2$ and $\frac{69}{13}$ .

$\frac{140}{13} + \frac{2 \cdot 69}{13}$

Step 1.2.2

Multiply $2$ by $69$ .

$\frac{140}{13} + \frac{138}{13}$

$\frac{140}{13} + \frac{138}{13}$

$\frac{140}{13} + \frac{138}{13}$

Step 2

Combine fractions.

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Step 2.1

Combine the numerators over the common denominator.

$\frac{140 + 138}{13}$

Step 2.2

Add $140$ and $138$ .

$\frac{278}{13}$

$\frac{278}{13}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$\frac{278}{13}$

Decimal Form:

$21.38461538 \dots$

Mixed Number Form:

$21 \frac{5}{13}$

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