Basic Math Examples

$\frac{1}{3} \cdot ((3.14) {(20 mm)}^{2} (96 mm))$

Step 1

Combine $\frac{1}{3}$ and $(3.14) {(20 mm)}^{2} (96 mm)$ .

$\frac{(3.14) {(20 mm)}^{2} \cdot 96}{3} mm$

Step 2

Cancel the common factor of $96$ and $3$ .

Tap for more steps...

Step 2.1

Factor $3$ out of $(3.14) {(20 mm)}^{2} \cdot 96$ .

$\frac{3 ((1.04\overline{6}) {(20 mm)}^{2} \cdot 96)}{3} mm$

Step 2.2

Cancel the common factors.

Tap for more steps...

Step 2.2.1

Factor $3$ out of $3$ .

$\frac{3 ((1.04\overline{6}) {(20 mm)}^{2} \cdot 96)}{3 (1)} mm$

Step 2.2.2

Cancel the common factor.

$\frac{3 ((1.04\overline{6}) {(20 mm)}^{2} \cdot 96)}{3 \cdot 1} mm$

Step 2.2.3

Rewrite the expression.

$\frac{(1.04\overline{6}) {(20 mm)}^{2} \cdot 96}{1} mm$

Step 2.2.4

Divide $(1.04\overline{6}) {(20 mm)}^{2} \cdot 96$ by $1$ .

$(1.04\overline{6}) {(20 mm)}^{2} \cdot 96 mm$

Step 3

Apply the product rule to $20 mm$ .

$1.04\overline{6} (20^{2} {mm}^{2}) \cdot 96 mm$

Step 4

Multiply ${mm}^{2}$ by $mm$ by adding the exponents.

Tap for more steps...

Step 4.1

Move $mm$ .

$1.04\overline{6} (20^{2} (mm {mm}^{2})) \cdot 96$

Step 4.2

Combine units.

$1.04\overline{6} (20^{2} {mm}^{3}) \cdot 96$

Step 5

Raise $20$ to the power of $2$ .

$1.04\overline{6} (400 {mm}^{3}) \cdot 96$

Step 6

Multiply $400$ by $1.04\overline{6}$ .

$418.\overline{6} {mm}^{3} \cdot 96$

Step 7

Multiply $96$ by $418.\overline{6}$ .

$40192 {mm}^{3}$