Basic Math Examples

$24 \div 10$ , $958$

Step 1

Rewrite the division as a fraction.

$\frac{24}{10}, 958$

Step 2

Cancel the common factor of $24$ and $10$ .

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Step 2.1

Factor $2$ out of $24$ .

$\frac{2 (12)}{10}, 958$

Step 2.2

Cancel the common factors.

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Step 2.2.1

Factor $2$ out of $10$ .

$\frac{2 \cdot 12}{2 \cdot 5}, 958$

Step 2.2.2

Cancel the common factor.

$\frac{2 \cdot 12}{2 \cdot 5}, 958$

Step 2.2.3

Rewrite the expression.

$\frac{12}{5}, 958$

Step 3

The mean of a set of numbers is the sum divided by the number of terms.

$\frac{\frac{12}{5} + 958}{2}$

Step 4

Cancel the common factor of $\frac{12}{5} + 958$ and $2$ .

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Step 4.1

Factor $2$ out of $\frac{12}{5}$ .

$\frac{2 (\frac{6}{5}) + 958}{2}$

Step 4.2

Factor $2$ out of $958$ .

$\frac{2 (\frac{6}{5}) + 2 \cdot 479}{2}$

Step 4.3

Factor $2$ out of $2 (\frac{6}{5}) + 2 \cdot 479$ .

$\frac{2 (\frac{6}{5} + 479)}{2}$

Step 4.4

Cancel the common factors.

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Step 4.4.1

Factor $2$ out of $2$ .

$\frac{2 (\frac{6}{5} + 479)}{2 (1)}$

Step 4.4.2

Cancel the common factor.

$\frac{2 (\frac{6}{5} + 479)}{2 \cdot 1}$

Step 4.4.3

Rewrite the expression.

$\frac{\frac{6}{5} + 479}{1}$

Step 4.4.4

Divide $\frac{6}{5} + 479$ by $1$ .

$\frac{6}{5} + 479$

Step 5

To write $479$ as a fraction with a common denominator, multiply by $\frac{5}{5}$ .

$\frac{6}{5} + 479 \cdot \frac{5}{5}$

Step 6

Combine $479$ and $\frac{5}{5}$ .

$\frac{6}{5} + \frac{479 \cdot 5}{5}$

Step 7

Combine the numerators over the common denominator.

$\frac{6 + 479 \cdot 5}{5}$

Step 8

Simplify the numerator.

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Step 8.1

Multiply $479$ by $5$ .

$\frac{6 + 2395}{5}$

Step 8.2

Add $6$ and $2395$ .

$\frac{2401}{5}$

Step 9

Divide.

$480.2$