Pre-Algebra Examples

$\frac{5}{6} \cdot (\frac{25}{9}) \div 3$

Step 1

Rewrite the division as a fraction.

$\frac{\frac{5}{6} \cdot (\frac{25}{9})}{3}$

Step 2

Multiply $\frac{5}{6}$ by $\frac{25}{9}$ .

$\frac{\frac{5 \cdot 25}{6 \cdot 9}}{3}$

Step 3

Multiply.

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Step 3.1

Multiply $5$ by $25$ .

$\frac{\frac{125}{6 \cdot 9}}{3}$

Step 3.2

Multiply $6$ by $9$ .

$\frac{\frac{125}{54}}{3}$

Step 4

Multiply the numerator by the reciprocal of the denominator.

$\frac{125}{54} \cdot \frac{1}{3}$

Step 5

Multiply $\frac{125}{54} \cdot \frac{1}{3}$ .

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Step 5.1

Multiply $\frac{125}{54}$ by $\frac{1}{3}$ .

$\frac{125}{54 \cdot 3}$

Step 5.2

Multiply $54$ by $3$ .

$\frac{125}{162}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$\frac{125}{162}$

Decimal Form:

$0.77160493 \dots$