Basic Math Examples

$\frac{\frac{9}{2}}{- 5} - 1$

Step 1

Simplify each term.

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Step 1.1

Multiply the numerator by the reciprocal of the denominator.

$\frac{9}{2} \cdot \frac{1}{- 5} - 1$

Step 1.2

Move the negative in front of the fraction.

$\frac{9}{2} (- \frac{1}{5}) - 1$

Step 1.3

Multiply $\frac{9}{2} (- \frac{1}{5})$ .

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Step 1.3.1

Multiply $\frac{9}{2}$ by $\frac{1}{5}$ .

$- \frac{9}{2 \cdot 5} - 1$

Step 1.3.2

Multiply $2$ by $5$ .

$- \frac{9}{10} - 1$

Step 2

To write $- 1$ as a fraction with a common denominator, multiply by $\frac{10}{10}$ .

$- \frac{9}{10} - 1 \cdot \frac{10}{10}$

Step 3

Combine $- 1$ and $\frac{10}{10}$ .

$- \frac{9}{10} + \frac{- 1 \cdot 10}{10}$

Step 4

Combine the numerators over the common denominator.

$\frac{- 9 - 1 \cdot 10}{10}$

Step 5

Simplify the numerator.

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Step 5.1

Multiply $- 1$ by $10$ .

$\frac{- 9 - 10}{10}$

Step 5.2

Subtract $10$ from $- 9$ .

$\frac{- 19}{10}$

Step 6

Move the negative in front of the fraction.

$- \frac{19}{10}$

Step 7

The result can be shown in multiple forms.

Exact Form:

$- \frac{19}{10}$

Decimal Form:

$- 1.9$

Mixed Number Form:

$- 1 \frac{9}{10}$