Evaluate 7/11-6/18

$\frac{7}{11} - \frac{6}{18}$

Step 1

Cancel the common factor of $6$ and $18$ .

Factor $6$ out of $6$ .

$\frac{7}{11} - \frac{6 (1)}{18}$

Cancel the common factors.

Factor $6$ out of $18$ .

$\frac{7}{11} - \frac{6 \cdot 1}{6 \cdot 3}$

Cancel the common factor.

$\frac{7}{11} - \frac{6 \cdot 1}{6 \cdot 3}$

Rewrite the expression.

$\frac{7}{11} - \frac{1}{3}$

Step 2

To write $\frac{7}{11}$ as a fraction with a common denominator, multiply by $\frac{3}{3}$ .

$\frac{7}{11} \cdot \frac{3}{3} - \frac{1}{3}$

Step 3

To write $- \frac{1}{3}$ as a fraction with a common denominator, multiply by $\frac{11}{11}$ .

$\frac{7}{11} \cdot \frac{3}{3} - \frac{1}{3} \cdot \frac{11}{11}$

Step 4

Write each expression with a common denominator of $33$ , by multiplying each by an appropriate factor of $1$ .

Multiply $\frac{7}{11}$ by $\frac{3}{3}$ .

$\frac{7 \cdot 3}{11 \cdot 3} - \frac{1}{3} \cdot \frac{11}{11}$

Multiply $11$ by $3$ .

$\frac{7 \cdot 3}{33} - \frac{1}{3} \cdot \frac{11}{11}$

Multiply $\frac{1}{3}$ by $\frac{11}{11}$ .

$\frac{7 \cdot 3}{33} - \frac{11}{3 \cdot 11}$

Multiply $3$ by $11$ .

$\frac{7 \cdot 3}{33} - \frac{11}{33}$

Step 5

Combine the numerators over the common denominator.

$\frac{7 \cdot 3 - 11}{33}$

Step 6

Simplify the numerator.

Multiply $7$ by $3$ .

$\frac{21 - 11}{33}$

Subtract $11$ from $21$ .

$\frac{10}{33}$

Step 7

The result can be shown in multiple forms.

Exact Form:

$\frac{10}{33}$

Decimal Form:

$0.\overline{30}$