Basic Math Examples

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

Step 1

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

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Step 1.1

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

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

Step 1.2

Add $1$ and $\frac{11}{49}$ .

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Step 1.2.1

Write $1$ as a fraction with a common denominator.

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

Step 1.2.2

Combine the numerators over the common denominator.

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

Step 1.2.3

Add $49$ and $11$ .

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

Step 2

To divide by a fraction, multiply by its reciprocal.

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

Step 3

Cancel the common factor of $12$ .

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Step 3.1

Factor $12$ out of $- 12$ .

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

Step 3.2

Factor $12$ out of $60$ .

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

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:

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