Basic Math Examples

\frac{5 \cdot S^{\frac{1}{3}}}{3 \cdot (20000 - 100 \cdot 102 + 5 \cdot S^{\frac{1}{3}} + 5 \cdot S^{\frac{1}{3}})}

$\frac{5 \cdot S^{\frac{1}{3}}}{3 \cdot (20000 - 100 \cdot 102 + 5 \cdot S^{\frac{1}{3}} + 5 \cdot S^{\frac{1}{3}})}$

Step 1

Factor

5

$5$ out of

5 \cdot S^{\frac{1}{3}}

$5 \cdot S^{\frac{1}{3}}$ .

\frac{5 (S^{\frac{1}{3}})}{3 \cdot (20000 - 100 \cdot 102 + 5 \cdot S^{\frac{1}{3}} + 5 \cdot S^{\frac{1}{3}})}

$\frac{5 (S^{\frac{1}{3}})}{3 \cdot (20000 - 100 \cdot 102 + 5 \cdot S^{\frac{1}{3}} + 5 \cdot S^{\frac{1}{3}})}$

Step 2

Cancel the common factors.

Tap for more steps...

Step 2.1

Factor

5

$5$ out of

3 \cdot (20000 - 100 \cdot 102 + 5 \cdot S^{\frac{1}{3}} + 5 \cdot S^{\frac{1}{3}})

$3 \cdot (20000 - 100 \cdot 102 + 5 \cdot S^{\frac{1}{3}} + 5 \cdot S^{\frac{1}{3}})$ .

\frac{5 (S^{\frac{1}{3}})}{5 (3 \cdot (4000 - 20 \cdot 102 + S^{\frac{1}{3}} + S^{\frac{1}{3}}))}

$\frac{5 (S^{\frac{1}{3}})}{5 (3 \cdot (4000 - 20 \cdot 102 + S^{\frac{1}{3}} + S^{\frac{1}{3}}))}$

Step 2.2

Cancel the common factor.

$\frac{5 S^{\frac{1}{3}}}{5 (3 \cdot (4000 - 20 \cdot 102 + S^{\frac{1}{3}} + S^{\frac{1}{3}}))}$

Step 2.3

Rewrite the expression.

$\frac{S^{\frac{1}{3}}}{3 \cdot (4000 - 20 \cdot 102 + S^{\frac{1}{3}} + S^{\frac{1}{3}})}$

Step 3

Simplify the denominator.

Tap for more steps...

Step 3.1

Add

$S^{\frac{1}{3}}$ and

$S^{\frac{1}{3}}$ .

$\frac{S^{\frac{1}{3}}}{3 (4000 - 20 \cdot 102 + 2 S^{\frac{1}{3}})}$

Step 3.2

Factor

$2$ out of

$4000 - 20 \cdot 102 + 2 S^{\frac{1}{3}}$ .

Tap for more steps...

Step 3.2.1

Factor

$2$ out of

$4000$ .

$\frac{S^{\frac{1}{3}}}{3 (2 \cdot 2000 - 20 \cdot 102 + 2 S^{\frac{1}{3}})}$

Step 3.2.2

Factor

$2$ out of

$- 20 \cdot 102$ .

$\frac{S^{\frac{1}{3}}}{3 (2 \cdot 2000 + 2 (- 10 \cdot 102) + 2 S^{\frac{1}{3}})}$

Step 3.2.3

Factor

$2$ out of

$2 \cdot 2000 + 2 (- 10 \cdot 102)$ .

$\frac{S^{\frac{1}{3}}}{3 (2 \cdot (2000 - 10 \cdot 102) + 2 S^{\frac{1}{3}})}$

Step 3.2.4

Factor

$2$ out of

$2 \cdot (2000 - 10 \cdot 102) + 2 S^{\frac{1}{3}}$ .

$\frac{S^{\frac{1}{3}}}{3 (2 (2000 - 10 \cdot 102 + S^{\frac{1}{3}}))}$

Step 3.3

Multiply

$- 10$ by

$102$ .

$\frac{S^{\frac{1}{3}}}{3 (2 (2000 - 1020 + S^{\frac{1}{3}}))}$

Step 3.4

Subtract

$1020$ from

$2000$ .

$\frac{S^{\frac{1}{3}}}{3 \cdot 2 (980 + S^{\frac{1}{3}})}$

Step 3.5

Multiply

$3$ by

$2$ .

$\frac{S^{\frac{1}{3}}}{6 (980 + S^{\frac{1}{3}})}$