Basic Math Examples

$- 16 (- 5 \frac{5}{18} + 13)$

Step 1

Convert $5 \frac{5}{18}$ to an improper fraction.

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Step 1.1

A mixed number is an addition of its whole and fractional parts.

$- 16 (- (5 + \frac{5}{18}) + 13)$

Step 1.2

Add $5$ and $\frac{5}{18}$ .

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Step 1.2.1

To write $5$ as a fraction with a common denominator, multiply by $\frac{18}{18}$ .

$- 16 (- (5 \cdot \frac{18}{18} + \frac{5}{18}) + 13)$

Step 1.2.2

Combine $5$ and $\frac{18}{18}$ .

$- 16 (- (\frac{5 \cdot 18}{18} + \frac{5}{18}) + 13)$

Step 1.2.3

Combine the numerators over the common denominator.

$- 16 (- \frac{5 \cdot 18 + 5}{18} + 13)$

Step 1.2.4

Simplify the numerator.

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Step 1.2.4.1

Multiply $5$ by $18$ .

$- 16 (- \frac{90 + 5}{18} + 13)$

Step 1.2.4.2

Add $90$ and $5$ .

$- 16 (- \frac{95}{18} + 13)$

Step 2

To write $13$ as a fraction with a common denominator, multiply by $\frac{18}{18}$ .

$- 16 (- \frac{95}{18} + 13 \cdot \frac{18}{18})$

Step 3

Combine $13$ and $\frac{18}{18}$ .

$- 16 (- \frac{95}{18} + \frac{13 \cdot 18}{18})$

Step 4

Combine the numerators over the common denominator.

$- 16 \frac{- 95 + 13 \cdot 18}{18}$

Step 5

Simplify the numerator.

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Step 5.1

Multiply $13$ by $18$ .

$- 16 \frac{- 95 + 234}{18}$

Step 5.2

Add $- 95$ and $234$ .

$- 16 (\frac{139}{18})$

Step 6

Cancel the common factor of $2$ .

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Step 6.1

Factor $2$ out of $- 16$ .

$2 (- 8) \frac{139}{18}$

Step 6.2

Factor $2$ out of $18$ .

$2 \cdot - 8 \frac{139}{2 \cdot 9}$

Step 6.3

Cancel the common factor.

$2 \cdot - 8 \frac{139}{2 \cdot 9}$

Step 6.4

Rewrite the expression.

$- 8 (\frac{139}{9})$

Step 7

Combine $- 8$ and $\frac{139}{9}$ .

$\frac{- 8 \cdot 139}{9}$

Step 8

Simplify the expression.

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Step 8.1

Multiply $- 8$ by $139$ .

$\frac{- 1112}{9}$

Step 8.2

Move the negative in front of the fraction.

$- \frac{1112}{9}$

Step 9

The result can be shown in multiple forms.

Exact Form:

$- \frac{1112}{9}$

Decimal Form:

$- 123.\overline{5}$

Mixed Number Form:

$- 123 \frac{5}{9}$