Evaluate 1/6-4/9

$\frac{1}{6} - \frac{4}{9}$

Step 1

To write $\frac{1}{6}$ as a fraction with a common denominator, multiply by $\frac{3}{3}$ .

$\frac{1}{6} \cdot \frac{3}{3} - \frac{4}{9}$

Step 2

To write $- \frac{4}{9}$ as a fraction with a common denominator, multiply by $\frac{2}{2}$ .

$\frac{1}{6} \cdot \frac{3}{3} - \frac{4}{9} \cdot \frac{2}{2}$

Step 3

Write each expression with a common denominator of $18$ , by multiplying each by an appropriate factor of $1$ .

Multiply $\frac{1}{6}$ by $\frac{3}{3}$ .

$\frac{3}{6 \cdot 3} - \frac{4}{9} \cdot \frac{2}{2}$

Multiply $6$ by $3$ .

$\frac{3}{18} - \frac{4}{9} \cdot \frac{2}{2}$

Multiply $\frac{4}{9}$ by $\frac{2}{2}$ .

$\frac{3}{18} - \frac{4 \cdot 2}{9 \cdot 2}$

Multiply $9$ by $2$ .

$\frac{3}{18} - \frac{4 \cdot 2}{18}$

Step 4

Combine the numerators over the common denominator.

$\frac{3 - 4 \cdot 2}{18}$

Step 5

Simplify the numerator.

Multiply $- 4$ by $2$ .

$\frac{3 - 8}{18}$

Subtract $8$ from $3$ .

$\frac{- 5}{18}$

Step 6

Move the negative in front of the fraction.

$- \frac{5}{18}$

Step 7

The result can be shown in multiple forms.

Exact Form:

$- \frac{5}{18}$

Decimal Form:

$- 0.2\overline{7}$