Evaluate 5/6-3/8

$\frac{5}{6} - \frac{3}{8}$

Step 1

To write $\frac{5}{6}$ as a fraction with a common denominator, multiply by $\frac{4}{4}$ .

$\frac{5}{6} \cdot \frac{4}{4} - \frac{3}{8}$

Step 2

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

$\frac{5}{6} \cdot \frac{4}{4} - \frac{3}{8} \cdot \frac{3}{3}$

Step 3

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

Multiply $\frac{5}{6}$ by $\frac{4}{4}$ .

$\frac{5 \cdot 4}{6 \cdot 4} - \frac{3}{8} \cdot \frac{3}{3}$

Multiply $6$ by $4$ .

$\frac{5 \cdot 4}{24} - \frac{3}{8} \cdot \frac{3}{3}$

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

$\frac{5 \cdot 4}{24} - \frac{3 \cdot 3}{8 \cdot 3}$

Multiply $8$ by $3$ .

$\frac{5 \cdot 4}{24} - \frac{3 \cdot 3}{24}$

Step 4

Combine the numerators over the common denominator.

$\frac{5 \cdot 4 - 3 \cdot 3}{24}$

Step 5

Simplify the numerator.

Multiply $5$ by $4$ .

$\frac{20 - 3 \cdot 3}{24}$

Multiply $- 3$ by $3$ .

$\frac{20 - 9}{24}$

Subtract $9$ from $20$ .

$\frac{11}{24}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$\frac{11}{24}$

Decimal Form:

$0.458\overline{3}$