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Evaluate (5/6)/(25/3)

$\frac{\frac{5}{6}}{\frac{25}{3}}$

Step 1

Multiply the numerator by the reciprocal of the denominator.

$\frac{5}{6} \cdot \frac{3}{25}$

Step 2

Cancel the common factor of $5$ .

Factor $5$ out of $25$ .

$\frac{5}{6} \cdot \frac{3}{5 (5)}$

Cancel the common factor.

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

Rewrite the expression.

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

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

Step 3

Cancel the common factor of $3$ .

Factor $3$ out of $6$ .

$\frac{1}{3 (2)} \cdot \frac{3}{5}$

Cancel the common factor.

$\frac{1}{3 \cdot 2} \cdot \frac{3}{5}$

Rewrite the expression.

$\frac{1}{2} \cdot \frac{1}{5}$

$\frac{1}{2} \cdot \frac{1}{5}$

Step 4

Multiply $\frac{1}{2}$ by $\frac{1}{5}$ .

$\frac{1}{2 \cdot 5}$

Step 5

Multiply $2$ by $5$ .

$\frac{1}{10}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$\frac{1}{10}$

Decimal Form:

$0.1$

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