Basic Math Examples

$\frac{2}{5} \cdot 10 + \frac{3}{4} \cdot 12 - 18 \cdot \frac{5}{6}$

Step 1

Simplify each term.

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Step 1.1

Cancel the common factor of $5$ .

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Step 1.1.1

Factor $5$ out of $10$ .

$\frac{2}{5} \cdot (5 (2)) + \frac{3}{4} \cdot 12 - 18 \cdot \frac{5}{6}$

Step 1.1.2

Cancel the common factor.

$\frac{2}{5} \cdot (5 \cdot 2) + \frac{3}{4} \cdot 12 - 18 \cdot \frac{5}{6}$

Step 1.1.3

Rewrite the expression.

$2 \cdot 2 + \frac{3}{4} \cdot 12 - 18 \cdot \frac{5}{6}$

Step 1.2

Multiply $2$ by $2$ .

$4 + \frac{3}{4} \cdot 12 - 18 \cdot \frac{5}{6}$

Step 1.3

Cancel the common factor of $4$ .

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Step 1.3.1

Factor $4$ out of $12$ .

$4 + \frac{3}{4} \cdot (4 (3)) - 18 \cdot \frac{5}{6}$

Step 1.3.2

Cancel the common factor.

$4 + \frac{3}{4} \cdot (4 \cdot 3) - 18 \cdot \frac{5}{6}$

Step 1.3.3

Rewrite the expression.

$4 + 3 \cdot 3 - 18 \cdot \frac{5}{6}$

Step 1.4

Multiply $3$ by $3$ .

$4 + 9 - 18 \cdot \frac{5}{6}$

Step 1.5

Cancel the common factor of $6$ .

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Step 1.5.1

Factor $6$ out of $- 18$ .

$4 + 9 + 6 (- 3) \cdot \frac{5}{6}$

Step 1.5.2

Cancel the common factor.

$4 + 9 + 6 \cdot - 3 \cdot \frac{5}{6}$

Step 1.5.3

Rewrite the expression.

$4 + 9 - 3 \cdot 5$

Step 1.6

Multiply $- 3$ by $5$ .

$4 + 9 - 15$

Step 2

Simplify by adding and subtracting.

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Step 2.1

Add $4$ and $9$ .

$13 - 15$

Step 2.2

Subtract $15$ from $13$ .

$- 2$