Evaluate 11/12-5/8

$\frac{11}{12} - \frac{5}{8}$

Step 1

To write $\frac{11}{12}$ as a fraction with a common denominator, multiply by $\frac{2}{2}$ .

$\frac{11}{12} \cdot \frac{2}{2} - \frac{5}{8}$

Step 2

To write $- \frac{5}{8}$ as a fraction with a common denominator, multiply by $\frac{3}{3}$ .

$\frac{11}{12} \cdot \frac{2}{2} - \frac{5}{8} \cdot \frac{3}{3}$

Step 3

Write each expression with a common denominator of $24$ , by multiplying each by an appropriate factor of $1$ .

Multiply $\frac{11}{12}$ by $\frac{2}{2}$ .

$\frac{11 \cdot 2}{12 \cdot 2} - \frac{5}{8} \cdot \frac{3}{3}$

Multiply $12$ by $2$ .

$\frac{11 \cdot 2}{24} - \frac{5}{8} \cdot \frac{3}{3}$

Multiply $\frac{5}{8}$ by $\frac{3}{3}$ .

$\frac{11 \cdot 2}{24} - \frac{5 \cdot 3}{8 \cdot 3}$

Multiply $8$ by $3$ .

$\frac{11 \cdot 2}{24} - \frac{5 \cdot 3}{24}$

Step 4

Combine the numerators over the common denominator.

$\frac{11 \cdot 2 - 5 \cdot 3}{24}$

Step 5

Simplify the numerator.

Multiply $11$ by $2$ .

$\frac{22 - 5 \cdot 3}{24}$

Multiply $- 5$ by $3$ .

$\frac{22 - 15}{24}$

Subtract $15$ from $22$ .

$\frac{7}{24}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$\frac{7}{24}$

Decimal Form:

$0.291\overline{6}$