Basic Math Examples

$\frac{0.6}{- 0.48} - 0.68 \cdot \frac{35}{34} - \frac{\frac{18}{25}}{\frac{36}{35}}$

Step 1

Simplify each term.

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Step 1.1

Divide $0.6$ by $- 0.48$ .

$- 1.25 - 0.68 \cdot \frac{35}{34} - \frac{\frac{18}{25}}{\frac{36}{35}}$

Step 1.2

Cancel the common factor of $0.68$ .

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Step 1.2.1

Factor $0.68$ out of $- 0.68$ .

$- 1.25 + 0.68 (- 1) \cdot \frac{35}{34} - \frac{\frac{18}{25}}{\frac{36}{35}}$

Step 1.2.2

Factor $0.68$ out of $34$ .

$- 1.25 + 0.68 \cdot - 1 \cdot \frac{35}{0.68 \cdot 50} - \frac{\frac{18}{25}}{\frac{36}{35}}$

Step 1.2.3

Cancel the common factor.

$- 1.25 + 0.68 \cdot - 1 \cdot \frac{35}{0.68 \cdot 50} - \frac{\frac{18}{25}}{\frac{36}{35}}$

Step 1.2.4

Rewrite the expression.

$- 1.25 - 1 \cdot \frac{35}{50} - \frac{\frac{18}{25}}{\frac{36}{35}}$

Step 1.3

Cancel the common factor of $35$ and $50$ .

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Step 1.3.1

Factor $5$ out of $35$ .

$- 1.25 - 1 \cdot \frac{5 (7)}{50} - \frac{\frac{18}{25}}{\frac{36}{35}}$

Step 1.3.2

Cancel the common factors.

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Step 1.3.2.1

Factor $5$ out of $50$ .

$- 1.25 - 1 \cdot \frac{5 \cdot 7}{5 \cdot 10} - \frac{\frac{18}{25}}{\frac{36}{35}}$

Step 1.3.2.2

Cancel the common factor.

$- 1.25 - 1 \cdot \frac{5 \cdot 7}{5 \cdot 10} - \frac{\frac{18}{25}}{\frac{36}{35}}$

Step 1.3.2.3

Rewrite the expression.

$- 1.25 - 1 \cdot \frac{7}{10} - \frac{\frac{18}{25}}{\frac{36}{35}}$

Step 1.4

Rewrite $- 1 (\frac{7}{10})$ as $- (\frac{7}{10})$ .

$- 1.25 - (\frac{7}{10}) - \frac{\frac{18}{25}}{\frac{36}{35}}$

Step 1.5

Multiply the numerator by the reciprocal of the denominator.

$- 1.25 - \frac{7}{10} - (\frac{18}{25} \cdot \frac{35}{36})$

Step 1.6

Cancel the common factor of $18$ .

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Step 1.6.1

Factor $18$ out of $36$ .

$- 1.25 - \frac{7}{10} - (\frac{18}{25} \cdot \frac{35}{18 (2)})$

Step 1.6.2

Cancel the common factor.

$- 1.25 - \frac{7}{10} - (\frac{18}{25} \cdot \frac{35}{18 \cdot 2})$

Step 1.6.3

Rewrite the expression.

$- 1.25 - \frac{7}{10} - (\frac{1}{25} \cdot \frac{35}{2})$

Step 1.7

Cancel the common factor of $5$ .

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Step 1.7.1

Factor $5$ out of $25$ .

$- 1.25 - \frac{7}{10} - (\frac{1}{5 (5)} \cdot \frac{35}{2})$

Step 1.7.2

Factor $5$ out of $35$ .

$- 1.25 - \frac{7}{10} - (\frac{1}{5 \cdot 5} \cdot \frac{5 \cdot 7}{2})$

Step 1.7.3

Cancel the common factor.

$- 1.25 - \frac{7}{10} - (\frac{1}{5 \cdot 5} \cdot \frac{5 \cdot 7}{2})$

Step 1.7.4

Rewrite the expression.

$- 1.25 - \frac{7}{10} - (\frac{1}{5} \cdot \frac{7}{2})$

Step 1.8

Multiply $\frac{1}{5}$ by $\frac{7}{2}$ .

$- 1.25 - \frac{7}{10} - \frac{7}{5 \cdot 2}$

Step 1.9

Multiply $5$ by $2$ .

$- 1.25 - \frac{7}{10} - \frac{7}{10}$

Step 2

Combine fractions.

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Step 2.1

Combine the numerators over the common denominator.

$- 1.25 + \frac{- 7 - 7}{10}$

Step 2.2

Subtract $7$ from $- 7$ .

$- 1.25 + \frac{- 14}{10}$

Step 3

Simplify each term.

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Step 3.1

Cancel the common factor of $- 14$ and $10$ .

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Step 3.1.1

Factor $2$ out of $- 14$ .

$- 1.25 + \frac{2 (- 7)}{10}$

Step 3.1.2

Cancel the common factors.

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Step 3.1.2.1

Factor $2$ out of $10$ .

$- 1.25 + \frac{2 \cdot - 7}{2 \cdot 5}$

Step 3.1.2.2

Cancel the common factor.

$- 1.25 + \frac{2 \cdot - 7}{2 \cdot 5}$

Step 3.1.2.3

Rewrite the expression.

$- 1.25 + \frac{- 7}{5}$

Step 3.2

Move the negative in front of the fraction.

$- 1.25 - \frac{7}{5}$

Step 4

To write $- 1.25$ as a fraction with a common denominator, multiply by $\frac{5}{5}$ .

$- 1.25 \cdot \frac{5}{5} - \frac{7}{5}$

Step 5

Combine fractions.

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Step 5.1

Combine $- 1.25$ and $\frac{5}{5}$ .

$\frac{- 1.25 \cdot 5}{5} - \frac{7}{5}$

Step 5.2

Combine the numerators over the common denominator.

$\frac{- 1.25 \cdot 5 - 7}{5}$

Step 6

Simplify the numerator.

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Step 6.1

Multiply $- 1.25$ by $5$ .

$\frac{- 6.25 - 7}{5}$

Step 6.2

Subtract $7$ from $- 6.25$ .

$\frac{- 13.25}{5}$

Step 7

Divide $- 13.25$ by $5$ .

$- 2.65$