Basic Math Examples

$(- 1 \frac{5}{9}) (- 2 \frac{1}{7})$

Step 1

Convert $1 \frac{5}{9}$ to an improper fraction.

Tap for more steps...

Step 1.1

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

$- (1 + \frac{5}{9}) (- 2 \frac{1}{7})$

Step 1.2

Add $1$ and $\frac{5}{9}$ .

Tap for more steps...

Step 1.2.1

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

$- (\frac{9}{9} + \frac{5}{9}) (- 2 \frac{1}{7})$

Step 1.2.2

Combine the numerators over the common denominator.

$- \frac{9 + 5}{9} (- 2 \frac{1}{7})$

Step 1.2.3

Add $9$ and $5$ .

$- \frac{14}{9} (- 2 \frac{1}{7})$

Step 2

Convert $2 \frac{1}{7}$ to an improper fraction.

Tap for more steps...

Step 2.1

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

$- \frac{14}{9} (- (2 + \frac{1}{7}))$

Step 2.2

Add $2$ and $\frac{1}{7}$ .

Tap for more steps...

Step 2.2.1

To write $2$ as a fraction with a common denominator, multiply by $\frac{7}{7}$ .

$- \frac{14}{9} (- (2 \cdot \frac{7}{7} + \frac{1}{7}))$

Step 2.2.2

Combine $2$ and $\frac{7}{7}$ .

$- \frac{14}{9} (- (\frac{2 \cdot 7}{7} + \frac{1}{7}))$

Step 2.2.3

Combine the numerators over the common denominator.

$- \frac{14}{9} (- \frac{2 \cdot 7 + 1}{7})$

Step 2.2.4

Simplify the numerator.

Tap for more steps...

Step 2.2.4.1

Multiply $2$ by $7$ .

$- \frac{14}{9} (- \frac{14 + 1}{7})$

Step 2.2.4.2

Add $14$ and $1$ .

$- \frac{14}{9} (- \frac{15}{7})$

Step 3

Cancel the common factor of $7$ .

Tap for more steps...

Step 3.1

Move the leading negative in $- \frac{14}{9}$ into the numerator.

$\frac{- 14}{9} (- \frac{15}{7})$

Step 3.2

Move the leading negative in $- \frac{15}{7}$ into the numerator.

$\frac{- 14}{9} \cdot \frac{- 15}{7}$

Step 3.3

Factor $7$ out of $- 14$ .

$\frac{7 (- 2)}{9} \cdot \frac{- 15}{7}$

Step 3.4

Cancel the common factor.

$\frac{7 \cdot - 2}{9} \cdot \frac{- 15}{7}$

Step 3.5

Rewrite the expression.

$\frac{- 2}{9} \cdot - 15$

Step 4

Cancel the common factor of $3$ .

Tap for more steps...

Step 4.1

Factor $3$ out of $9$ .

$\frac{- 2}{3 (3)} \cdot - 15$

Step 4.2

Factor $3$ out of $- 15$ .

$\frac{- 2}{3 \cdot 3} \cdot (3 \cdot - 5)$

Step 4.3

Cancel the common factor.

$\frac{- 2}{3 \cdot 3} \cdot (3 \cdot - 5)$

Step 4.4

Rewrite the expression.

$\frac{- 2}{3} \cdot - 5$

Step 5

Combine $\frac{- 2}{3}$ and $- 5$ .

$\frac{- 2 \cdot - 5}{3}$

Step 6

Multiply $- 2$ by $- 5$ .

$\frac{10}{3}$

Step 7

The result can be shown in multiple forms.

Exact Form:

$\frac{10}{3}$

Decimal Form:

$3.\overline{3}$

Mixed Number Form:

$3 \frac{1}{3}$