Linear Algebra Examples

$- 2 (- \frac{46}{11}) - 3 (\frac{19}{11})$

Step 1

Simplify each term.

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Step 1.1

Multiply $- 2 (- \frac{46}{11})$ .

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Step 1.1.1

Multiply $- 1$ by $- 2$ .

$2 (\frac{46}{11}) - 3 (\frac{19}{11})$

Step 1.1.2

Combine $2$ and $\frac{46}{11}$ .

$\frac{2 \cdot 46}{11} - 3 (\frac{19}{11})$

Step 1.1.3

Multiply $2$ by $46$ .

$\frac{92}{11} - 3 (\frac{19}{11})$

$\frac{92}{11} - 3 (\frac{19}{11})$

Step 1.2

Multiply $- 3 (\frac{19}{11})$ .

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Step 1.2.1

Combine $- 3$ and $\frac{19}{11}$ .

$\frac{92}{11} + \frac{- 3 \cdot 19}{11}$

Step 1.2.2

Multiply $- 3$ by $19$ .

$\frac{92}{11} + \frac{- 57}{11}$

$\frac{92}{11} + \frac{- 57}{11}$

Step 1.3

Move the negative in front of the fraction.

$\frac{92}{11} - \frac{57}{11}$

$\frac{92}{11} - \frac{57}{11}$

Step 2

Combine fractions.

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Step 2.1

Combine the numerators over the common denominator.

$\frac{92 - 57}{11}$

Step 2.2

Subtract $57$ from $92$ .

$\frac{35}{11}$

$\frac{35}{11}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$\frac{35}{11}$

Decimal Form:

$3.\overline{18}$

Mixed Number Form:

$3 \frac{2}{11}$

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