Basic Math Examples

$\frac{12}{15} \cdot - 6 + (- 4 - 3) + 8^{2}$

Step 1

Remove parentheses.

$\frac{12}{15} \cdot - 6 - 4 - 3 + 8^{2}$

Step 2

Simplify each term.

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Step 2.1

Cancel the common factor of $3$ .

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Step 2.1.1

Factor $3$ out of $15$ .

$\frac{12}{3 (5)} \cdot - 6 - 4 - 3 + 8^{2}$

Step 2.1.2

Factor $3$ out of $- 6$ .

$\frac{12}{3 \cdot 5} \cdot (3 \cdot - 2) - 4 - 3 + 8^{2}$

Step 2.1.3

Cancel the common factor.

$\frac{12}{3 \cdot 5} \cdot (3 \cdot - 2) - 4 - 3 + 8^{2}$

Step 2.1.4

Rewrite the expression.

$\frac{12}{5} \cdot - 2 - 4 - 3 + 8^{2}$

Step 2.2

Combine $\frac{12}{5}$ and $- 2$ .

$\frac{12 \cdot - 2}{5} - 4 - 3 + 8^{2}$

Step 2.3

Multiply $12$ by $- 2$ .

$\frac{- 24}{5} - 4 - 3 + 8^{2}$

Step 2.4

Move the negative in front of the fraction.

$- \frac{24}{5} - 4 - 3 + 8^{2}$

Step 2.5

Raise $8$ to the power of $2$ .

$- \frac{24}{5} - 4 - 3 + 64$

Step 3

Find the common denominator.

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Step 3.1

Write $- 4$ as a fraction with denominator $1$ .

$- \frac{24}{5} + \frac{- 4}{1} - 3 + 64$

Step 3.2

Multiply $\frac{- 4}{1}$ by $\frac{5}{5}$ .

$- \frac{24}{5} + \frac{- 4}{1} \cdot \frac{5}{5} - 3 + 64$

Step 3.3

Multiply $\frac{- 4}{1}$ by $\frac{5}{5}$ .

$- \frac{24}{5} + \frac{- 4 \cdot 5}{5} - 3 + 64$

Step 3.4

Write $- 3$ as a fraction with denominator $1$ .

$- \frac{24}{5} + \frac{- 4 \cdot 5}{5} + \frac{- 3}{1} + 64$

Step 3.5

Multiply $\frac{- 3}{1}$ by $\frac{5}{5}$ .

$- \frac{24}{5} + \frac{- 4 \cdot 5}{5} + \frac{- 3}{1} \cdot \frac{5}{5} + 64$

Step 3.6

Multiply $\frac{- 3}{1}$ by $\frac{5}{5}$ .

$- \frac{24}{5} + \frac{- 4 \cdot 5}{5} + \frac{- 3 \cdot 5}{5} + 64$

Step 3.7

Write $64$ as a fraction with denominator $1$ .

$- \frac{24}{5} + \frac{- 4 \cdot 5}{5} + \frac{- 3 \cdot 5}{5} + \frac{64}{1}$

Step 3.8

Multiply $\frac{64}{1}$ by $\frac{5}{5}$ .

$- \frac{24}{5} + \frac{- 4 \cdot 5}{5} + \frac{- 3 \cdot 5}{5} + \frac{64}{1} \cdot \frac{5}{5}$

Step 3.9

Multiply $\frac{64}{1}$ by $\frac{5}{5}$ .

$- \frac{24}{5} + \frac{- 4 \cdot 5}{5} + \frac{- 3 \cdot 5}{5} + \frac{64 \cdot 5}{5}$

Step 4

Combine the numerators over the common denominator.

$\frac{- 24 - 4 \cdot 5 - 3 \cdot 5 + 64 \cdot 5}{5}$

Step 5

Simplify each term.

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Step 5.1

Multiply $- 4$ by $5$ .

$\frac{- 24 - 20 - 3 \cdot 5 + 64 \cdot 5}{5}$

Step 5.2

Multiply $- 3$ by $5$ .

$\frac{- 24 - 20 - 15 + 64 \cdot 5}{5}$

Step 5.3

Multiply $64$ by $5$ .

$\frac{- 24 - 20 - 15 + 320}{5}$

Step 6

Simplify by adding and subtracting.

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Step 6.1

Subtract $20$ from $- 24$ .

$\frac{- 44 - 15 + 320}{5}$

Step 6.2

Subtract $15$ from $- 44$ .

$\frac{- 59 + 320}{5}$

Step 6.3

Add $- 59$ and $320$ .

$\frac{261}{5}$

Step 7

The result can be shown in multiple forms.

Exact Form:

$\frac{261}{5}$

Decimal Form:

$52.2$

Mixed Number Form:

$52 \frac{1}{5}$