Basic Math Examples

$18 \div 15 - 7 \div 10 - 5 \div 6$

Step 1

Find the common denominator.

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Step 1.1

Multiply $18 \div 15$ by $\frac{2}{2}$ .

$18 \div 15 \cdot \frac{2}{2} - 7 \div 10 - 5 \div 6$

Step 1.2

Multiply $18 \div 15$ by $\frac{2}{2}$ .

$\frac{18 \cdot 2}{15 \cdot 2} - 7 \div 10 - 5 \div 6$

Step 1.3

Multiply $7 \div 10$ by $\frac{3}{3}$ .

$\frac{18 \cdot 2}{15 \cdot 2} - (7 \div 10 \cdot \frac{3}{3}) - 5 \div 6$

Step 1.4

Multiply $7 \div 10$ by $\frac{3}{3}$ .

$\frac{18 \cdot 2}{15 \cdot 2} - \frac{7 \cdot 3}{10 \cdot 3} - 5 \div 6$

Step 1.5

Multiply $5 \div 6$ by $\frac{5}{5}$ .

$\frac{18 \cdot 2}{15 \cdot 2} - \frac{7 \cdot 3}{10 \cdot 3} - (5 \div 6 \cdot \frac{5}{5})$

Step 1.6

Multiply $5 \div 6$ by $\frac{5}{5}$ .

$\frac{18 \cdot 2}{15 \cdot 2} - \frac{7 \cdot 3}{10 \cdot 3} - \frac{5 \cdot 5}{6 \cdot 5}$

Step 1.7

Reorder the factors of $15 \cdot 2$ .

$\frac{18 \cdot 2}{2 \cdot 15} - \frac{7 \cdot 3}{10 \cdot 3} - \frac{5 \cdot 5}{6 \cdot 5}$

Step 1.8

Multiply $2$ by $15$ .

$\frac{18 \cdot 2}{30} - \frac{7 \cdot 3}{10 \cdot 3} - \frac{5 \cdot 5}{6 \cdot 5}$

Step 1.9

Reorder the factors of $10 \cdot 3$ .

$\frac{18 \cdot 2}{30} - \frac{7 \cdot 3}{3 \cdot 10} - \frac{5 \cdot 5}{6 \cdot 5}$

Step 1.10

Multiply $3$ by $10$ .

$\frac{18 \cdot 2}{30} - \frac{7 \cdot 3}{30} - \frac{5 \cdot 5}{6 \cdot 5}$

Step 1.11

Reorder the factors of $6 \cdot 5$ .

$\frac{18 \cdot 2}{30} - \frac{7 \cdot 3}{30} - \frac{5 \cdot 5}{5 \cdot 6}$

Step 1.12

Multiply $5$ by $6$ .

$\frac{18 \cdot 2}{30} - \frac{7 \cdot 3}{30} - \frac{5 \cdot 5}{30}$

Step 2

Combine the numerators over the common denominator.

$\frac{18 \cdot 2 - 7 \cdot 3 - 5 \cdot 5}{30}$

Step 3

Simplify each term.

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Step 3.1

Multiply $18$ by $2$ .

$\frac{36 - 7 \cdot 3 - 5 \cdot 5}{30}$

Step 3.2

Multiply $- 7$ by $3$ .

$\frac{36 - 21 - 5 \cdot 5}{30}$

Step 3.3

Multiply $- 5$ by $5$ .

$\frac{36 - 21 - 25}{30}$

Step 4

Reduce the expression by cancelling the common factors.

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Step 4.1

Subtract $21$ from $36$ .

$\frac{15 - 25}{30}$

Step 4.2

Subtract $25$ from $15$ .

$\frac{- 10}{30}$

Step 4.3

Cancel the common factor of $- 10$ and $30$ .

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Step 4.3.1

Factor $10$ out of $- 10$ .

$\frac{10 (- 1)}{30}$

Step 4.3.2

Cancel the common factors.

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Step 4.3.2.1

Factor $10$ out of $30$ .

$\frac{10 \cdot - 1}{10 \cdot 3}$

Step 4.3.2.2

Cancel the common factor.

$\frac{10 \cdot - 1}{10 \cdot 3}$

Step 4.3.2.3

Rewrite the expression.

$\frac{- 1}{3}$

Step 4.4

Move the negative in front of the fraction.

$- \frac{1}{3}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$- \frac{1}{3}$

Decimal Form:

$- 0.\overline{3}$