Evaluate 10/39*3/8

$\frac{10}{39} \cdot \frac{3}{8}$

Step 1

Cancel the common factor of $2$ .

Factor $2$ out of $10$ .

$\frac{2 (5)}{39} \cdot \frac{3}{8}$

Factor $2$ out of $8$ .

$\frac{2 \cdot 5}{39} \cdot \frac{3}{2 \cdot 4}$

Cancel the common factor.

$\frac{2 \cdot 5}{39} \cdot \frac{3}{2 \cdot 4}$

Rewrite the expression.

$\frac{5}{39} \cdot \frac{3}{4}$

$\frac{5}{39} \cdot \frac{3}{4}$

Step 2

Cancel the common factor of $3$ .

Factor $3$ out of $39$ .

$\frac{5}{3 (13)} \cdot \frac{3}{4}$

Cancel the common factor.

$\frac{5}{3 \cdot 13} \cdot \frac{3}{4}$

Rewrite the expression.

$\frac{5}{13} \cdot \frac{1}{4}$

$\frac{5}{13} \cdot \frac{1}{4}$

Step 3

Multiply $\frac{5}{13}$ by $\frac{1}{4}$ .

$\frac{5}{13 \cdot 4}$

Step 4

Multiply $13$ by $4$ .

$\frac{5}{52}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$\frac{5}{52}$

Decimal Form:

$0.09615384 \dots$

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