Basic Math Examples

$- \frac{5}{6} \cdot ({(5 - 2)}^{2} - 6 \div 2 \cdot (15 - 21))$

Step 1

Simplify each term.

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Step 1.1

Subtract $2$ from $5$ .

$- \frac{5}{6} \cdot (3^{2} - 6 \div 2 \cdot (15 - 21))$

Step 1.2

Raise $3$ to the power of $2$ .

$- \frac{5}{6} \cdot (9 - 6 \div 2 \cdot (15 - 21))$

Step 1.3

Divide $6$ by $2$ .

$- \frac{5}{6} \cdot (9 - 1 \cdot 3 \cdot (15 - 21))$

Step 1.4

Multiply $- 1$ by $3$ .

$- \frac{5}{6} \cdot (9 - 3 \cdot (15 - 21))$

Step 1.5

Subtract $21$ from $15$ .

$- \frac{5}{6} \cdot (9 - 3 \cdot - 6)$

Step 1.6

Multiply $- 3$ by $- 6$ .

$- \frac{5}{6} \cdot (9 + 18)$

Step 2

Simplify terms.

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Step 2.1

Add $9$ and $18$ .

$- \frac{5}{6} \cdot 27$

Step 2.2

Cancel the common factor of $3$ .

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Step 2.2.1

Move the leading negative in $- \frac{5}{6}$ into the numerator.

$\frac{- 5}{6} \cdot 27$

Step 2.2.2

Factor $3$ out of $6$ .

$\frac{- 5}{3 (2)} \cdot 27$

Step 2.2.3

Factor $3$ out of $27$ .

$\frac{- 5}{3 \cdot 2} \cdot (3 \cdot 9)$

Step 2.2.4

Cancel the common factor.

$\frac{- 5}{3 \cdot 2} \cdot (3 \cdot 9)$

Step 2.2.5

Rewrite the expression.

$\frac{- 5}{2} \cdot 9$

Step 2.3

Combine $\frac{- 5}{2}$ and $9$ .

$\frac{- 5 \cdot 9}{2}$

Step 2.4

Simplify the expression.

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Step 2.4.1

Multiply $- 5$ by $9$ .

$\frac{- 45}{2}$

Step 2.4.2

Move the negative in front of the fraction.

$- \frac{45}{2}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$- \frac{45}{2}$

Decimal Form:

$- 22.5$

Mixed Number Form:

$- 22 \frac{1}{2}$