Basic Math Examples

$\frac{2^{2} (21 - 12)}{3 (- 2) + 5 \cdot - 3}$

Step 1

Cancel the common factor of $21 - 12$ and $3 (- 2) + 5 \cdot - 3$ .

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Step 1.1

Reorder terms.

$\frac{2^{2} (21 - 12)}{- 2 \cdot 3 - 3 \cdot 5}$

Step 1.2

Factor $3$ out of $2^{2} (21 - 12)$ .

$\frac{3 (2^{2} (7 - 4))}{- 2 \cdot 3 - 3 \cdot 5}$

Step 1.3

Cancel the common factors.

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Step 1.3.1

Factor $3$ out of $- 2 \cdot 3$ .

$\frac{3 (2^{2} (7 - 4))}{3 \cdot - 2 - 3 \cdot 5}$

Step 1.3.2

Factor $3$ out of $- 3 \cdot 5$ .

$\frac{3 (2^{2} (7 - 4))}{3 \cdot - 2 + 3 (- 1 \cdot 5)}$

Step 1.3.3

Factor $3$ out of $3 \cdot - 2 + 3 (- 1 \cdot 5)$ .

$\frac{3 (2^{2} (7 - 4))}{3 \cdot (- 2 - 1 \cdot 5)}$

Step 1.3.4

Cancel the common factor.

$\frac{3 (2^{2} (7 - 4))}{3 \cdot (- 2 - 1 \cdot 5)}$

Step 1.3.5

Rewrite the expression.

$\frac{2^{2} (7 - 4)}{- 2 - 1 \cdot 5}$

Step 2

Simplify the numerator.

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Step 2.1

Subtract $4$ from $7$ .

$\frac{2^{2} \cdot 3}{- 2 - 1 \cdot 5}$

Step 2.2

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

$\frac{4 \cdot 3}{- 2 - 1 \cdot 5}$

Step 3

Simplify the denominator.

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Step 3.1

Multiply $- 1$ by $5$ .

$\frac{4 \cdot 3}{- 2 - 5}$

Step 3.2

Subtract $5$ from $- 2$ .

$\frac{4 \cdot 3}{- 7}$

Step 4

Simplify the expression.

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Step 4.1

Multiply $4$ by $3$ .

$\frac{12}{- 7}$

Step 4.2

Move the negative in front of the fraction.

$- \frac{12}{7}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$- \frac{12}{7}$

Decimal Form:

$- 1.\overline{714285}$

Mixed Number Form:

$- 1 \frac{5}{7}$