Basic Math Examples

\frac{4}{5} \div \frac{5}{4} - 2

$\frac{4}{5} \div \frac{5}{4} - 2$

Step 1

Simplify each term.

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Step 1.1

To divide by a fraction, multiply by its reciprocal.

\frac{4}{5} \cdot \frac{4}{5} - 2

$\frac{4}{5} \cdot \frac{4}{5} - 2$

Step 1.2

Multiply

\frac{4}{5} \cdot \frac{4}{5}

$\frac{4}{5} \cdot \frac{4}{5}$ .

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Step 1.2.1

Multiply

\frac{4}{5}

$\frac{4}{5}$ by

\frac{4}{5}

$\frac{4}{5}$ .

\frac{4 \cdot 4}{5 \cdot 5} - 2

$\frac{4 \cdot 4}{5 \cdot 5} - 2$

Step 1.2.2

Multiply

4

$4$ by

4

$4$ .

\frac{16}{5 \cdot 5} - 2

$\frac{16}{5 \cdot 5} - 2$

Step 1.2.3

Multiply

5

$5$ by

5

$5$ .

\frac{16}{25} - 2

$\frac{16}{25} - 2$

\frac{16}{25} - 2

$\frac{16}{25} - 2$

\frac{16}{25} - 2

$\frac{16}{25} - 2$

Step 2

To write

- 2

$- 2$ as a fraction with a common denominator, multiply by

\frac{25}{25}

$\frac{25}{25}$ .

\frac{16}{25} - 2 \cdot \frac{25}{25}

$\frac{16}{25} - 2 \cdot \frac{25}{25}$

Step 3

Combine

- 2

$- 2$ and

\frac{25}{25}

$\frac{25}{25}$ .

\frac{16}{25} + \frac{- 2 \cdot 25}{25}

$\frac{16}{25} + \frac{- 2 \cdot 25}{25}$

Step 4

Combine the numerators over the common denominator.

\frac{16 - 2 \cdot 25}{25}

$\frac{16 - 2 \cdot 25}{25}$

Step 5

Simplify the numerator.

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Step 5.1

Multiply

- 2

$- 2$ by

25

$25$ .

\frac{16 - 50}{25}

$\frac{16 - 50}{25}$

Step 5.2

Subtract

50

$50$ from

16

$16$ .

\frac{- 34}{25}

$\frac{- 34}{25}$

\frac{- 34}{25}

$\frac{- 34}{25}$

Step 6

Move the negative in front of the fraction.

- \frac{34}{25}

$- \frac{34}{25}$

Step 7

The result can be shown in multiple forms.

Exact Form:

- \frac{34}{25}

$- \frac{34}{25}$

Decimal Form:

- 1.36

$- 1.36$

Mixed Number Form:

- 1 \frac{9}{25}

$- 1 \frac{9}{25}$