Basic Math Examples

$\frac{2}{3} \cdot \frac{1}{6} + 1 \frac{5}{9} + 2 (- \frac{7}{18})$

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.

$\frac{2}{3} \cdot \frac{1}{6} + 1 + \frac{5}{9} + 2 (- \frac{7}{18})$

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.

$\frac{2}{3} \cdot \frac{1}{6} + \frac{9}{9} + \frac{5}{9} + 2 (- \frac{7}{18})$

Step 1.2.2

Combine the numerators over the common denominator.

$\frac{2}{3} \cdot \frac{1}{6} + \frac{9 + 5}{9} + 2 (- \frac{7}{18})$

Step 1.2.3

Add $9$ and $5$ .

$\frac{2}{3} \cdot \frac{1}{6} + \frac{14}{9} + 2 (- \frac{7}{18})$

Step 2

Simplify each term.

Tap for more steps...

Step 2.1

Cancel the common factor of $2$ .

Tap for more steps...

Step 2.1.1

Factor $2$ out of $6$ .

$\frac{2}{3} \cdot \frac{1}{2 (3)} + \frac{14}{9} + 2 (- \frac{7}{18})$

Step 2.1.2

Cancel the common factor.

$\frac{2}{3} \cdot \frac{1}{2 \cdot 3} + \frac{14}{9} + 2 (- \frac{7}{18})$

Step 2.1.3

Rewrite the expression.

$\frac{1}{3} \cdot \frac{1}{3} + \frac{14}{9} + 2 (- \frac{7}{18})$

Step 2.2

Multiply $\frac{1}{3}$ by $\frac{1}{3}$ .

$\frac{1}{3 \cdot 3} + \frac{14}{9} + 2 (- \frac{7}{18})$

Step 2.3

Multiply $3$ by $3$ .

$\frac{1}{9} + \frac{14}{9} + 2 (- \frac{7}{18})$

Step 2.4

Cancel the common factor of $2$ .

Tap for more steps...

Step 2.4.1

Move the leading negative in $- \frac{7}{18}$ into the numerator.

$\frac{1}{9} + \frac{14}{9} + 2 (\frac{- 7}{18})$

Step 2.4.2

Factor $2$ out of $18$ .

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

Step 2.4.3

Cancel the common factor.

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

Step 2.4.4

Rewrite the expression.

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

Step 2.5

Move the negative in front of the fraction.

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

Step 3

Combine fractions.

Tap for more steps...

Step 3.1

Combine the numerators over the common denominator.

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

Step 3.2

Simplify by adding and subtracting.

Tap for more steps...

Step 3.2.1

Add $1$ and $14$ .

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

Step 3.2.2

Subtract $7$ from $15$ .

$\frac{8}{9}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\frac{8}{9}$

Decimal Form:

$0.\overline{8}$