Basic Math Examples

$\frac{12}{(4 + 6 + 2) \cdot 10^{- 3}}$

Step 1

Reduce the expression by cancelling the common factors.

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Step 1.1

Move $10^{- 3}$ to the numerator using the negative exponent rule $\frac{1}{b^{- n}} = b^{n}$ .

$\frac{12 \cdot 10^{3}}{4 + 6 + 2}$

Step 1.2

Cancel the common factor of $12$ and $4 + 6 + 2$ .

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Step 1.2.1

Factor $2$ out of $12 \cdot 10^{3}$ .

$\frac{2 \cdot 6 \cdot 10^{3}}{4 + 6 + 2}$

Step 1.2.2

Cancel the common factors.

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Step 1.2.2.1

Factor $2$ out of $4$ .

$\frac{2 \cdot 6 \cdot 10^{3}}{2 \cdot 2 + 6 + 2}$

Step 1.2.2.2

Factor $2$ out of $6$ .

$\frac{2 \cdot 6 \cdot 10^{3}}{2 \cdot 2 + 2 \cdot 3 + 2}$

Step 1.2.2.3

Factor $2$ out of $2 \cdot 2 + 2 \cdot 3$ .

$\frac{2 \cdot 6 \cdot 10^{3}}{2 \cdot (2 + 3) + 2}$

Step 1.2.2.4

Factor $2$ out of $2$ .

$\frac{2 \cdot 6 \cdot 10^{3}}{2 \cdot (2 + 3) + 2 (1)}$

Step 1.2.2.5

Factor $2$ out of $2 \cdot (2 + 3) + 2 (1)$ .

$\frac{2 \cdot 6 \cdot 10^{3}}{2 \cdot (2 + 3 + 1)}$

Step 1.2.2.6

Cancel the common factor.

$\frac{2 \cdot 6 \cdot 10^{3}}{2 \cdot (2 + 3 + 1)}$

Step 1.2.2.7

Rewrite the expression.

$\frac{6 \cdot 10^{3}}{2 + 3 + 1}$

Step 2

Simplify the denominator.

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Step 2.1

Add $2$ and $3$ .

$\frac{6 \cdot 10^{3}}{5 + 1}$

Step 2.2

Add $5$ and $1$ .

$\frac{6 \cdot 10^{3}}{6}$

Step 3

Divide using scientific notation.

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Step 3.1

Group coefficients together and exponents together to divide numbers in scientific notation.

$(\frac{6}{6}) (\frac{10^{3}}{1})$

Step 3.2

Divide $6$ by $6$ .

$1 \frac{10^{3}}{1}$

Step 3.3

Divide $10^{3}$ by $1$ .

$1 \cdot 10^{3}$

Step 4

Multiply $10^{3}$ by $1$ .

$10^{3}$

Step 5

Raise $10$ to the power of $3$ .

$1000$