Basic Math Examples

$\frac{\frac{6 m}{s e} \cdot 4 kg}{8 m \cdot (1 s e)}$

Step 1

Cancel the common factor of $4$ and $8$ .

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Step 1.1

Factor $4$ out of $\frac{6 m}{s e} \cdot 4 kg$ .

$\frac{4 (\frac{6 m}{s e} kg)}{8 m \cdot (1 s e)}$

Step 1.2

Cancel the common factors.

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Step 1.2.1

Factor $4$ out of $8 m \cdot (1 s e)$ .

$\frac{4 (\frac{6 m}{s e} kg)}{4 (2 m \cdot (1 s e))}$

Step 1.2.2

Cancel the common factor.

$\frac{4 (\frac{6 m}{s e} kg)}{4 (2 m \cdot (1 s e))}$

Step 1.2.3

Rewrite the expression.

$\frac{\frac{6 m}{s e} kg}{2 m \cdot (1 s e)}$

Step 2

Simplify.

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Step 2.1

Multiply $2$ by $1$ .

$\frac{\frac{6 m}{s e} kg}{2 m s e}$

Step 2.2

Factor $\frac{6 m}{s e}$ out of $\frac{\frac{6 m}{s e} kg}{2 m s e}$ .

$\frac{6 m}{s e} \cdot \frac{kg}{2 m s e}$

Step 3

Combine fractions.

$\frac{6 m}{s e \cdot 2 m s e} kg$

Step 4

Multiply $s$ by $s$ by adding the exponents.

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Step 4.1

Move $s$ .

$\frac{6 m}{s \cdot s e \cdot 2 m e} kg$

Step 4.2

Multiply $s$ by $s$ .

$\frac{6 m}{s^{2} e \cdot 2 m e} kg$

Step 5

Reduce the expression by cancelling the common factors.

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Step 5.1

Cancel the common factor of $6$ and $2$ .

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Step 5.1.1

Factor $2$ out of $6 m$ .

$\frac{2 (3 m)}{s^{2} e \cdot 2 m e} kg$

Step 5.1.2

Cancel the common factors.

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Step 5.1.2.1

Factor $2$ out of $s^{2} e \cdot 2 m e$ .

$\frac{2 (3 m)}{2 (s^{2} e m e)} kg$

Step 5.1.2.2

Cancel the common factor.

$\frac{2 (3 m)}{2 (s^{2} e m e)} kg$

Step 5.1.2.3

Rewrite the expression.

$\frac{3 m}{s^{2} e m e} kg$

Step 5.2

Cancel the common factor of $m$ .

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Step 5.2.1

Cancel the common factor.

$\frac{3 m}{s^{2} e m e} kg$

Step 5.2.2

Rewrite the expression.

$\frac{3}{s^{2} e e} kg$

Step 6

Simplify the denominator.

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Step 6.1

Raise $e$ to the power of $1$ .

$\frac{3}{s^{2} (e^{1} e)} kg$

Step 6.2

Raise $e$ to the power of $1$ .

$\frac{3}{s^{2} (e^{1} e^{1})} kg$

Step 6.3

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$\frac{3}{s^{2} e^{1 + 1}} kg$

Step 6.4

Add $1$ and $1$ .

$\frac{3}{s^{2} e^{2}} kg$