Basic Math Examples

- 5 \frac{3}{5} \div 7

$- 5 \frac{3}{5} \div 7$

Step 1

Convert

5 \frac{3}{5}

$5 \frac{3}{5}$ to an improper fraction.

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Step 1.1

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

- (5 + \frac{3}{5}) \div 7

$- (5 + \frac{3}{5}) \div 7$

Step 1.2

Add

5

$5$ and

\frac{3}{5}

$\frac{3}{5}$ .

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Step 1.2.1

To write

5

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

\frac{5}{5}

$\frac{5}{5}$ .

- (5 \cdot \frac{5}{5} + \frac{3}{5}) \div 7

$- (5 \cdot \frac{5}{5} + \frac{3}{5}) \div 7$

Step 1.2.2

Combine

5

$5$ and

\frac{5}{5}

$\frac{5}{5}$ .

- (\frac{5 \cdot 5}{5} + \frac{3}{5}) \div 7

$- (\frac{5 \cdot 5}{5} + \frac{3}{5}) \div 7$

Step 1.2.3

Combine the numerators over the common denominator.

- \frac{5 \cdot 5 + 3}{5} \div 7

$- \frac{5 \cdot 5 + 3}{5} \div 7$

Step 1.2.4

Simplify the numerator.

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Step 1.2.4.1

Multiply

5

$5$ by

5

$5$ .

- \frac{25 + 3}{5} \div 7

$- \frac{25 + 3}{5} \div 7$

Step 1.2.4.2

Add

25

$25$ and

3

$3$ .

- \frac{28}{5} \div 7

$- \frac{28}{5} \div 7$

- \frac{28}{5} \div 7

$- \frac{28}{5} \div 7$

- \frac{28}{5} \div 7

$- \frac{28}{5} \div 7$

- \frac{28}{5} \div 7

$- \frac{28}{5} \div 7$

Step 2

Rewrite the division as a fraction.

\frac{- \frac{28}{5}}{7}

$\frac{- \frac{28}{5}}{7}$

Step 3

Multiply the numerator by the reciprocal of the denominator.

- \frac{28}{5} \cdot \frac{1}{7}

$- \frac{28}{5} \cdot \frac{1}{7}$

Step 4

Cancel the common factor of

7

$7$ .

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Step 4.1

Move the leading negative in

- \frac{28}{5}

$- \frac{28}{5}$ into the numerator.

\frac{- 28}{5} \cdot \frac{1}{7}

$\frac{- 28}{5} \cdot \frac{1}{7}$

Step 4.2

Factor

7

$7$ out of

- 28

$- 28$ .

\frac{7 (- 4)}{5} \cdot \frac{1}{7}

$\frac{7 (- 4)}{5} \cdot \frac{1}{7}$

Step 4.3

Cancel the common factor.

\frac{7 \cdot - 4}{5} \cdot \frac{1}{7}

$\frac{7 \cdot - 4}{5} \cdot \frac{1}{7}$

Step 4.4

Rewrite the expression.

\frac{- 4}{5}

$\frac{- 4}{5}$

\frac{- 4}{5}

$\frac{- 4}{5}$

Step 5

Move the negative in front of the fraction.

- \frac{4}{5}

$- \frac{4}{5}$

Step 6

The result can be shown in multiple forms.

Exact Form:

- \frac{4}{5}

$- \frac{4}{5}$

Decimal Form:

- 0.8

$- 0.8$