Basic Math Examples

$\frac{120 - 25 \cdot 3}{12 + 24 \div 8} \div 10$

Step 1

Rewrite the division as a fraction.

$\frac{\frac{120 - 25 \cdot 3}{12 + 24 \div 8}}{10}$

Step 2

Cancel the common factor of $24$ and $8$ .

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Step 2.1

Factor $8$ out of $24$ .

$\frac{\frac{120 - 25 \cdot 3}{12 + 8 \cdot 3 \div 8}}{10}$

Step 2.2

Cancel the common factors.

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Step 2.2.1

Factor $8$ out of $8$ .

$\frac{\frac{120 - 25 \cdot 3}{12 + 8 \cdot 3 \div 8 (1)}}{10}$

Step 2.2.2

Cancel the common factor.

$\frac{\frac{120 - 25 \cdot 3}{12 + 8 \cdot 3 \div 8 \cdot 1}}{10}$

Step 2.2.3

Rewrite the expression.

$\frac{\frac{120 - 25 \cdot 3}{12 + \frac{3}{1}}}{10}$

Step 2.2.4

Divide $3$ by $1$ .

$\frac{\frac{120 - 25 \cdot 3}{12 + 3}}{10}$

Step 3

Cancel the common factor of $120 - 25 \cdot 3$ and $12 + 3$ .

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Step 3.1

Rewrite $120$ as $- 1 (- 120)$ .

$\frac{\frac{- 1 (- 120) - 25 \cdot 3}{12 + 3}}{10}$

Step 3.2

Factor $- 1$ out of $- 25 \cdot 3$ .

$\frac{\frac{- 1 (- 120) - (25 \cdot 3)}{12 + 3}}{10}$

Step 3.3

Factor $- 1$ out of $- 1 (- 120) - (25 \cdot 3)$ .

$\frac{\frac{- 1 (- 120 + 25 \cdot 3)}{12 + 3}}{10}$

Step 3.4

Reorder terms.

$\frac{\frac{- 1 (3 \cdot 25 - 120)}{12 + 3}}{10}$

Step 3.5

Factor $3$ out of $- 1 (3 \cdot 25 - 120)$ .

$\frac{\frac{3 (- 1 (25 - 40))}{12 + 3}}{10}$

Step 3.6

Cancel the common factors.

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Step 3.6.1

Factor $3$ out of $12$ .

$\frac{\frac{3 (- 1 (25 - 40))}{3 \cdot 4 + 3}}{10}$

Step 3.6.2

Factor $3$ out of $3$ .

$\frac{\frac{3 (- 1 (25 - 40))}{3 \cdot 4 + 3 (1)}}{10}$

Step 3.6.3

Factor $3$ out of $3 \cdot 4 + 3 (1)$ .

$\frac{\frac{3 (- 1 (25 - 40))}{3 \cdot (4 + 1)}}{10}$

Step 3.6.4

Cancel the common factor.

$\frac{\frac{3 (- 1 (25 - 40))}{3 \cdot (4 + 1)}}{10}$

Step 3.6.5

Rewrite the expression.

$\frac{\frac{- 1 (25 - 40)}{4 + 1}}{10}$

Step 4

Multiply the numerator by the reciprocal of the denominator.

$\frac{- 1 (25 - 40)}{4 + 1} \cdot \frac{1}{10}$

Step 5

Simplify the expression.

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Step 5.1

Subtract $40$ from $25$ .

$\frac{- 1 \cdot - 15}{4 + 1} \cdot \frac{1}{10}$

Step 5.2

Add $4$ and $1$ .

$\frac{- 1 \cdot - 15}{5} \cdot \frac{1}{10}$

Step 5.3

Multiply $- 1$ by $- 15$ .

$\frac{15}{5} \cdot \frac{1}{10}$

Step 6

Cancel the common factor of $5$ .

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Step 6.1

Factor $5$ out of $15$ .

$\frac{5 (3)}{5} \cdot \frac{1}{10}$

Step 6.2

Factor $5$ out of $10$ .

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

Step 6.3

Cancel the common factor.

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

Step 6.4

Rewrite the expression.

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

Step 7

Multiply $\frac{3}{5}$ by $\frac{1}{2}$ .

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

Step 8

Multiply $5$ by $2$ .

$\frac{3}{10}$

Step 9

The result can be shown in multiple forms.

Exact Form:

$\frac{3}{10}$

Decimal Form:

$0.3$