Basic Math Examples

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

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

Step 1

Convert

1 \frac{1}{2}

$1 \frac{1}{2}$ to an improper fraction.

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Step 1.1

A mixed number is an addition of its whole and fractional parts.

- (1 + \frac{1}{2}) - 5

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

Step 1.2

Add

1

$1$ and

\frac{1}{2}

$\frac{1}{2}$ .

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Step 1.2.1

Write

1

$1$ as a fraction with a common denominator.

- (\frac{2}{2} + \frac{1}{2}) - 5

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

Step 1.2.2

Combine the numerators over the common denominator.

- \frac{2 + 1}{2} - 5

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

Step 1.2.3

Add

2

$2$ and

1

$1$ .

- \frac{3}{2} - 5

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

- \frac{3}{2} - 5

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

- \frac{3}{2} - 5

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

Step 2

To write

- 5

$- 5$ as a fraction with a common denominator, multiply by

\frac{2}{2}

$\frac{2}{2}$ .

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

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

Step 3

Combine

- 5

$- 5$ and

\frac{2}{2}

$\frac{2}{2}$ .

- \frac{3}{2} + \frac{- 5 \cdot 2}{2}

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

Step 4

Combine the numerators over the common denominator.

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

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

Step 5

Simplify the numerator.

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Step 5.1

Multiply

- 5

$- 5$ by

2

$2$ .

\frac{- 3 - 10}{2}

$\frac{- 3 - 10}{2}$

Step 5.2

Subtract

10

$10$ from

- 3

$- 3$ .

\frac{- 13}{2}

$\frac{- 13}{2}$

\frac{- 13}{2}

$\frac{- 13}{2}$

Step 6

Move the negative in front of the fraction.

- \frac{13}{2}

$- \frac{13}{2}$

Step 7

The result can be shown in multiple forms.

Exact Form:

- \frac{13}{2}

$- \frac{13}{2}$

Decimal Form:

- 6.5

$- 6.5$

Mixed Number Form:

- 6 \frac{1}{2}

$- 6 \frac{1}{2}$