Basic Math Examples

$(10) \cdot (\frac{1}{13}) + (- 6) \cdot (\frac{12}{13})$

Step 1

Simplify each term.

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Step 1.1

Combine $10$ and $\frac{1}{13}$ .

$\frac{10}{13} + (- 6) \cdot (\frac{12}{13})$

Step 1.2

Multiply $(- 6) (\frac{12}{13})$ .

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Step 1.2.1

Combine $- 6$ and $\frac{12}{13}$ .

$\frac{10}{13} + \frac{- 6 \cdot 12}{13}$

Step 1.2.2

Multiply $- 6$ by $12$ .

$\frac{10}{13} + \frac{- 72}{13}$

Step 1.3

Move the negative in front of the fraction.

$\frac{10}{13} - \frac{72}{13}$

Step 2

Combine fractions.

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Step 2.1

Combine the numerators over the common denominator.

$\frac{10 - 72}{13}$

Step 2.2

Simplify the expression.

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Step 2.2.1

Subtract $72$ from $10$ .

$\frac{- 62}{13}$

Step 2.2.2

Move the negative in front of the fraction.

$- \frac{62}{13}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$- \frac{62}{13}$

Decimal Form:

$- 4.\overline{769230}$

Mixed Number Form:

$- 4 \frac{10}{13}$