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:

$0.625$

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

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