Basic Math Examples

- 5 (1 \frac{3}{4})

$- 5 (1 \frac{3}{4})$

Step 1

Convert

1 \frac{3}{4}

$1 \frac{3}{4}$ to an improper fraction.

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Step 1.1

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

- 5 (1 + \frac{3}{4})

$- 5 (1 + \frac{3}{4})$

Step 1.2

Add

1

$1$ and

\frac{3}{4}

$\frac{3}{4}$ .

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Step 1.2.1

Write

1

$1$ as a fraction with a common denominator.

- 5 (\frac{4}{4} + \frac{3}{4})

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

Step 1.2.2

Combine the numerators over the common denominator.

- 5 \frac{4 + 3}{4}

$- 5 \frac{4 + 3}{4}$

Step 1.2.3

Add

4

$4$ and

3

$3$ .

- 5 (\frac{7}{4})

$- 5 (\frac{7}{4})$

- 5 (\frac{7}{4})

$- 5 (\frac{7}{4})$

- 5 (\frac{7}{4})

$- 5 (\frac{7}{4})$

Step 2

Multiply

- 5 (\frac{7}{4})

$- 5 (\frac{7}{4})$ .

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Step 2.1

Combine

- 5

$- 5$ and

\frac{7}{4}

$\frac{7}{4}$ .

\frac{- 5 \cdot 7}{4}

$\frac{- 5 \cdot 7}{4}$

Step 2.2

Multiply

- 5

$- 5$ by

7

$7$ .

\frac{- 35}{4}

$\frac{- 35}{4}$

\frac{- 35}{4}

$\frac{- 35}{4}$

Step 3

Move the negative in front of the fraction.

- \frac{35}{4}

$- \frac{35}{4}$

Step 4

The result can be shown in multiple forms.

Exact Form:

- \frac{35}{4}

$- \frac{35}{4}$

Decimal Form:

- 8.75

$- 8.75$

Mixed Number Form:

- 8 \frac{3}{4}

$- 8 \frac{3}{4}$