Basic Math Examples

- 12 \div 1 \frac{11}{49}

$- 12 \div 1 \frac{11}{49}$

Step 1

Convert

1 \frac{11}{49}

$1 \frac{11}{49}$ to an improper fraction.

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Step 1.1

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

- 12 \div (1 + \frac{11}{49})

$- 12 \div (1 + \frac{11}{49})$

Step 1.2

Add

1

$1$ and

\frac{11}{49}

$\frac{11}{49}$ .

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Step 1.2.1

Write

1

$1$ as a fraction with a common denominator.

- 12 \div (\frac{49}{49} + \frac{11}{49})

$- 12 \div (\frac{49}{49} + \frac{11}{49})$

Step 1.2.2

Combine the numerators over the common denominator.

- 12 \div \frac{49 + 11}{49}

$- 12 \div \frac{49 + 11}{49}$

Step 1.2.3

Add

49

$49$ and

11

$11$ .

- 12 \div \frac{60}{49}

$- 12 \div \frac{60}{49}$

- 12 \div \frac{60}{49}

$- 12 \div \frac{60}{49}$

- 12 \div \frac{60}{49}

$- 12 \div \frac{60}{49}$

Step 2

To divide by a fraction, multiply by its reciprocal.

- 12 (\frac{49}{60})

$- 12 (\frac{49}{60})$

Step 3

Cancel the common factor of

12

$12$ .

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Step 3.1

Factor

12

$12$ out of

- 12

$- 12$ .

12 (- 1) \frac{49}{60}

$12 (- 1) \frac{49}{60}$

Step 3.2

Factor

12

$12$ out of

60

$60$ .

12 \cdot - 1 \frac{49}{12 \cdot 5}

$12 \cdot - 1 \frac{49}{12 \cdot 5}$

Step 3.3

Cancel the common factor.

$12 \cdot - 1 \frac{49}{12 \cdot 5}$

Step 3.4

Rewrite the expression.

$- \frac{49}{5}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$- \frac{49}{5}$

Decimal Form:

$- 9.8$

Mixed Number Form:

$- 9 \frac{4}{5}$