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Evaluate (20/3)/(64/3)

$\frac{\frac{20}{3}}{\frac{64}{3}}$

Step 1

Multiply the numerator by the reciprocal of the denominator.

$\frac{20}{3} \cdot \frac{3}{64}$

Step 2

Cancel the common factor of $4$ .

Factor $4$ out of $20$ .

$\frac{4 (5)}{3} \cdot \frac{3}{64}$

Factor $4$ out of $64$ .

$\frac{4 \cdot 5}{3} \cdot \frac{3}{4 \cdot 16}$

Cancel the common factor.

$\frac{4 \cdot 5}{3} \cdot \frac{3}{4 \cdot 16}$

Rewrite the expression.

$\frac{5}{3} \cdot \frac{3}{16}$

$\frac{5}{3} \cdot \frac{3}{16}$

Step 3

Cancel the common factor of $3$ .

Cancel the common factor.

$\frac{5}{3} \cdot \frac{3}{16}$

Rewrite the expression.

$5 (\frac{1}{16})$

$5 (\frac{1}{16})$

Step 4

Combine $5$ and $\frac{1}{16}$ .

$\frac{5}{16}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$\frac{5}{16}$

Decimal Form:

$0.3125$

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