Basic Math Examples

$- 6 - 8.2 + (\frac{4}{5} + \frac{3}{5})$

Step 1

Remove parentheses.

$- 6 - 8.2 + \frac{4}{5} + \frac{3}{5}$

Step 2

Combine the numerators over the common denominator.

$- 6 - 8.2 + \frac{4 + 3}{5}$

Step 3

Add $4$ and $3$ .

$- 6 - 8.2 + \frac{7}{5}$

Step 4

Find the common denominator.

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Step 4.1

Write $- 6$ as a fraction with denominator $1$ .

$\frac{- 6}{1} - 8.2 + \frac{7}{5}$

Step 4.2

Multiply $\frac{- 6}{1}$ by $\frac{5}{5}$ .

$\frac{- 6}{1} \cdot \frac{5}{5} - 8.2 + \frac{7}{5}$

Step 4.3

Multiply $\frac{- 6}{1}$ by $\frac{5}{5}$ .

$\frac{- 6 \cdot 5}{5} - 8.2 + \frac{7}{5}$

Step 4.4

Write $- 8.2$ as a fraction with denominator $1$ .

$\frac{- 6 \cdot 5}{5} + \frac{- 8.2}{1} + \frac{7}{5}$

Step 4.5

Multiply $\frac{- 8.2}{1}$ by $\frac{5}{5}$ .

$\frac{- 6 \cdot 5}{5} + \frac{- 8.2}{1} \cdot \frac{5}{5} + \frac{7}{5}$

Step 4.6

Multiply $\frac{- 8.2}{1}$ by $\frac{5}{5}$ .

$\frac{- 6 \cdot 5}{5} + \frac{- 8.2 \cdot 5}{5} + \frac{7}{5}$

Step 5

Combine the numerators over the common denominator.

$\frac{- 6 \cdot 5 - 8.2 \cdot 5 + 7}{5}$

Step 6

Simplify each term.

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Step 6.1

Multiply $- 6$ by $5$ .

$\frac{- 30 - 8.2 \cdot 5 + 7}{5}$

Step 6.2

Multiply $- 8.2$ by $5$ .

$\frac{- 30 - 41 + 7}{5}$

Step 7

Reduce the expression by cancelling the common factors.

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Step 7.1

Subtract $41$ from $- 30$ .

$\frac{- 71 + 7}{5}$

Step 7.2

Add $- 71$ and $7$ .

$\frac{- 64}{5}$

Step 7.3

Cancel the common factor of $- 64$ and $5$ .

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Step 7.3.1

Rewrite $- 64$ as $1 (- 64)$ .

$\frac{1 (- 64)}{5}$

Step 7.3.2

Cancel the common factors.

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Step 7.3.2.1

Rewrite $5$ as $1 (5)$ .

$\frac{1 \cdot - 64}{1 \cdot 5}$

Step 7.3.2.2

Cancel the common factor.

$\frac{1 \cdot - 64}{1 \cdot 5}$

Step 7.3.2.3

Rewrite the expression.

$\frac{- 64}{5}$

Step 7.4

Move the negative in front of the fraction.

$- \frac{64}{5}$

Step 8

The result can be shown in multiple forms.

Exact Form:

$- \frac{64}{5}$

Decimal Form:

$- 12.8$

Mixed Number Form:

$- 12 \frac{4}{5}$