Simplify 5/6-1/3*5/8

$\frac{5}{6} - \frac{1}{3} \cdot \frac{5}{8}$

Step 1

Multiply $- \frac{1}{3} \cdot \frac{5}{8}$ .

Multiply $\frac{5}{8}$ by $\frac{1}{3}$ .

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

Multiply $8$ by $3$ .

$\frac{5}{6} - \frac{5}{24}$

Step 2

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

$\frac{5}{6} \cdot \frac{4}{4} - \frac{5}{24}$

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 $\frac{4}{4}$ .

$\frac{5 \cdot 4}{6 \cdot 4} - \frac{5}{24}$

Multiply $6$ by $4$ .

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

Step 4

Combine the numerators over the common denominator.

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

Step 5

Simplify the numerator.

Multiply $5$ by $4$ .

$\frac{20 - 5}{24}$

Subtract $5$ from $20$ .

$\frac{15}{24}$

Step 6

Cancel the common factor of $15$ and $24$ .

Factor $3$ out of $15$ .

$\frac{3 (5)}{24}$

Cancel the common factors.

Factor $3$ out of $24$ .

$\frac{3 \cdot 5}{3 \cdot 8}$

Cancel the common factor.

$\frac{3 \cdot 5}{3 \cdot 8}$

Rewrite the expression.

$\frac{5}{8}$

Step 7

The result can be shown in multiple forms.

Exact Form:

$\frac{5}{8}$

Decimal Form:

$0.625$