Basic Math Examples

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

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

Step 1

Cancel the common factor of

21 - 12

$21 - 12$ and

3 (- 2) + 5 \cdot - 3

$3 (- 2) + 5 \cdot - 3$ .

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Step 1.1

Reorder terms.

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

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

Step 1.2

Factor

3

$3$ out of

2^{2} (21 - 12)

$2^{2} (21 - 12)$ .

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

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

Step 1.3

Cancel the common factors.

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Step 1.3.1

Factor

3

$3$ out of

- 2 \cdot 3

$- 2 \cdot 3$ .

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

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

Step 1.3.2

Factor

3

$3$ out of

- 3 \cdot 5

$- 3 \cdot 5$ .

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

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

Step 1.3.3

Factor

3

$3$ out of

3 \cdot - 2 + 3 (- 1 \cdot 5)

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

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

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