Basic Math Examples

$(\frac{- 7}{18}) + (\frac{5}{13}) \cdot (\frac{3}{4}) + \frac{- 1}{11}$

Step 1

Simplify each term.

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Step 1.1

Move the negative in front of the fraction.

$- \frac{7}{18} + (\frac{5}{13}) \cdot (\frac{3}{4}) + \frac{- 1}{11}$

Step 1.2

Multiply $(\frac{5}{13}) (\frac{3}{4})$ .

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Step 1.2.1

Multiply $\frac{5}{13}$ by $\frac{3}{4}$ .

$- \frac{7}{18} + \frac{5 \cdot 3}{13 \cdot 4} + \frac{- 1}{11}$

Step 1.2.2

Multiply $5$ by $3$ .

$- \frac{7}{18} + \frac{15}{13 \cdot 4} + \frac{- 1}{11}$

Step 1.2.3

Multiply $13$ by $4$ .

$- \frac{7}{18} + \frac{15}{52} + \frac{- 1}{11}$

Step 1.3

Move the negative in front of the fraction.

$- \frac{7}{18} + \frac{15}{52} - \frac{1}{11}$

Step 2

Find the common denominator.

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Step 2.1

Multiply $\frac{7}{18}$ by $\frac{286}{286}$ .

$- (\frac{7}{18} \cdot \frac{286}{286}) + \frac{15}{52} - \frac{1}{11}$

Step 2.2

Multiply $\frac{7}{18}$ by $\frac{286}{286}$ .

$- \frac{7 \cdot 286}{18 \cdot 286} + \frac{15}{52} - \frac{1}{11}$

Step 2.3

Multiply $\frac{15}{52}$ by $\frac{99}{99}$ .

$- \frac{7 \cdot 286}{18 \cdot 286} + \frac{15}{52} \cdot \frac{99}{99} - \frac{1}{11}$

Step 2.4

Multiply $\frac{15}{52}$ by $\frac{99}{99}$ .

$- \frac{7 \cdot 286}{18 \cdot 286} + \frac{15 \cdot 99}{52 \cdot 99} - \frac{1}{11}$

Step 2.5

Multiply $\frac{1}{11}$ by $\frac{468}{468}$ .

$- \frac{7 \cdot 286}{18 \cdot 286} + \frac{15 \cdot 99}{52 \cdot 99} - (\frac{1}{11} \cdot \frac{468}{468})$

Step 2.6

Multiply $\frac{1}{11}$ by $\frac{468}{468}$ .

$- \frac{7 \cdot 286}{18 \cdot 286} + \frac{15 \cdot 99}{52 \cdot 99} - \frac{468}{11 \cdot 468}$

Step 2.7

Multiply $18$ by $286$ .

$- \frac{7 \cdot 286}{5148} + \frac{15 \cdot 99}{52 \cdot 99} - \frac{468}{11 \cdot 468}$

Step 2.8

Multiply $52$ by $99$ .

$- \frac{7 \cdot 286}{5148} + \frac{15 \cdot 99}{5148} - \frac{468}{11 \cdot 468}$

Step 2.9

Multiply $11$ by $468$ .

$- \frac{7 \cdot 286}{5148} + \frac{15 \cdot 99}{5148} - \frac{468}{5148}$

Step 3

Combine the numerators over the common denominator.

$\frac{- 7 \cdot 286 + 15 \cdot 99 - 468}{5148}$

Step 4

Simplify each term.

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Step 4.1

Multiply $- 7$ by $286$ .

$\frac{- 2002 + 15 \cdot 99 - 468}{5148}$

Step 4.2

Multiply $15$ by $99$ .

$\frac{- 2002 + 1485 - 468}{5148}$

Step 5

Simplify the expression.

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Step 5.1

Add $- 2002$ and $1485$ .

$\frac{- 517 - 468}{5148}$

Step 5.2

Subtract $468$ from $- 517$ .

$\frac{- 985}{5148}$

Step 5.3

Move the negative in front of the fraction.

$- \frac{985}{5148}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$- \frac{985}{5148}$

Decimal Form:

$- 0.19133644 \dots$