Basic Math Examples

$- 2 \frac{7}{9} \div 2 \frac{4}{9}$

Step 1

Convert

$2 \frac{7}{9}$ to an improper fraction.

Tap for more steps...

Step 1.1

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

$- (2 + \frac{7}{9}) \div 2 \frac{4}{9}$

Step 1.2

Add

$2$ and

$\frac{7}{9}$ .

Tap for more steps...

Step 1.2.1

To write

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

$\frac{9}{9}$ .

$- (2 \cdot \frac{9}{9} + \frac{7}{9}) \div 2 \frac{4}{9}$

Step 1.2.2

Combine

$2$ and

$\frac{9}{9}$ .

$- (\frac{2 \cdot 9}{9} + \frac{7}{9}) \div 2 \frac{4}{9}$

Step 1.2.3

Combine the numerators over the common denominator.

$- \frac{2 \cdot 9 + 7}{9} \div 2 \frac{4}{9}$

Step 1.2.4

Simplify the numerator.

Tap for more steps...

Step 1.2.4.1

Multiply

$2$ by

$9$ .

$- \frac{18 + 7}{9} \div 2 \frac{4}{9}$

Step 1.2.4.2

Add

$18$ and

$7$ .

$- \frac{25}{9} \div 2 \frac{4}{9}$

Step 2

Convert

$2 \frac{4}{9}$ to an improper fraction.

Tap for more steps...

Step 2.1

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

$- \frac{25}{9} \div (2 + \frac{4}{9})$

Step 2.2

Add

$2$ and

$\frac{4}{9}$ .

Tap for more steps...

Step 2.2.1

To write

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

$\frac{9}{9}$ .

$- \frac{25}{9} \div (2 \cdot \frac{9}{9} + \frac{4}{9})$

Step 2.2.2

Combine

$2$ and

$\frac{9}{9}$ .

$- \frac{25}{9} \div (\frac{2 \cdot 9}{9} + \frac{4}{9})$

Step 2.2.3

Combine the numerators over the common denominator.

$- \frac{25}{9} \div \frac{2 \cdot 9 + 4}{9}$

Step 2.2.4

Simplify the numerator.

Tap for more steps...

Step 2.2.4.1

Multiply

$2$ by

$9$ .

$- \frac{25}{9} \div \frac{18 + 4}{9}$

Step 2.2.4.2

Add

$18$ and

$4$ .

$- \frac{25}{9} \div \frac{22}{9}$

Step 3

To divide by a fraction, multiply by its reciprocal.

$- \frac{25}{9} \cdot \frac{9}{22}$

Step 4

Cancel the common factor of

$9$ .

Tap for more steps...

Step 4.1

Move the leading negative in

$- \frac{25}{9}$ into the numerator.

$\frac{- 25}{9} \cdot \frac{9}{22}$

Step 4.2

Cancel the common factor.

$\frac{- 25}{9} \cdot \frac{9}{22}$

Step 4.3

Rewrite the expression.

$- 25 (\frac{1}{22})$

Step 5

Combine

$- 25$ and

$\frac{1}{22}$ .

$\frac{- 25}{22}$

Step 6

Move the negative in front of the fraction.

$- \frac{25}{22}$

Step 7

The result can be shown in multiple forms.

Exact Form:

$- \frac{25}{22}$

Decimal Form:

$- 1.1\overline{36}$

Mixed Number Form:

$- 1 \frac{3}{22}$