Evaluate 3/416/217/10

$\frac{3}{4} \cdot \frac{16}{21} \cdot \frac{7}{10}$

Step 1

Cancel the common factor of $3$ .

Factor $3$ out of $21$ .

$\frac{3}{4} \cdot \frac{16}{3 (7)} \cdot \frac{7}{10}$

Cancel the common factor.

$\frac{3}{4} \cdot \frac{16}{3 \cdot 7} \cdot \frac{7}{10}$

Rewrite the expression.

$\frac{1}{4} \cdot \frac{16}{7} \cdot \frac{7}{10}$

Step 2

Cancel the common factor of $4$ .

Factor $4$ out of $16$ .

$\frac{1}{4} \cdot \frac{4 (4)}{7} \cdot \frac{7}{10}$

Cancel the common factor.

$\frac{1}{4} \cdot \frac{4 \cdot 4}{7} \cdot \frac{7}{10}$

Rewrite the expression.

$\frac{4}{7} \cdot \frac{7}{10}$

Step 3

Cancel the common factor of $2$ .

Factor $2$ out of $4$ .

$\frac{2 (2)}{7} \cdot \frac{7}{10}$

Factor $2$ out of $10$ .

$\frac{2 \cdot 2}{7} \cdot \frac{7}{2 \cdot 5}$

Cancel the common factor.

$\frac{2 \cdot 2}{7} \cdot \frac{7}{2 \cdot 5}$

Rewrite the expression.

$\frac{2}{7} \cdot \frac{7}{5}$

Step 4

Cancel the common factor of $7$ .

Cancel the common factor.

$\frac{2}{7} \cdot \frac{7}{5}$

Rewrite the expression.

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

Step 5

Combine $2$ and $\frac{1}{5}$ .

$\frac{2}{5}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$\frac{2}{5}$

Decimal Form:

$0.4$

Evaluate 3/4*16/21*7/10