Simplify (7/2)(4/5)(3/2)

$(\frac{7}{2}) (\frac{4}{5}) (\frac{3}{2})$

Step 1

Cancel the common factor of $2$ .

Factor $2$ out of $4$ .

$\frac{7}{2} \cdot \frac{2 (2)}{5} \cdot \frac{3}{2}$

Cancel the common factor.

$\frac{7}{2} \cdot \frac{2 \cdot 2}{5} \cdot \frac{3}{2}$

Rewrite the expression.

$7 (\frac{2}{5}) \cdot \frac{3}{2}$

Step 2

Combine $7$ and $\frac{2}{5}$ .

$\frac{7 \cdot 2}{5} \cdot \frac{3}{2}$

Step 3

Multiply $7$ by $2$ .

$\frac{14}{5} \cdot \frac{3}{2}$

Step 4

Cancel the common factor of $2$ .

Factor $2$ out of $14$ .

$\frac{2 (7)}{5} \cdot \frac{3}{2}$

Cancel the common factor.

$\frac{2 \cdot 7}{5} \cdot \frac{3}{2}$

Rewrite the expression.

$\frac{7}{5} \cdot 3$

Step 5

Combine $\frac{7}{5}$ and $3$ .

$\frac{7 \cdot 3}{5}$

Step 6

Multiply $7$ by $3$ .

$\frac{21}{5}$

Step 7

The result can be shown in multiple forms.

Exact Form:

$\frac{21}{5}$

Decimal Form:

$4.2$

Mixed Number Form:

$4 \frac{1}{5}$