Basic Math Examples

5 (22 \frac{52}{2})

$5 (22 \frac{52}{2})$

Step 1

Convert

22 \frac{52}{2}

$22 \frac{52}{2}$ to an improper fraction.

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Step 1.1

A mixed number is an addition of its whole and fractional parts.

5 (22 + \frac{52}{2})

$5 (22 + \frac{52}{2})$

Step 1.2

Add

22

$22$ and

\frac{52}{2}

$\frac{52}{2}$ .

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Step 1.2.1

To write

22

$22$ as a fraction with a common denominator, multiply by

\frac{2}{2}

$\frac{2}{2}$ .

5 (22 \cdot \frac{2}{2} + \frac{52}{2})

$5 (22 \cdot \frac{2}{2} + \frac{52}{2})$

Step 1.2.2

Combine

22

$22$ and

\frac{2}{2}

$\frac{2}{2}$ .

5 (\frac{22 \cdot 2}{2} + \frac{52}{2})

$5 (\frac{22 \cdot 2}{2} + \frac{52}{2})$

Step 1.2.3

Combine the numerators over the common denominator.

5 \frac{22 \cdot 2 + 52}{2}

$5 \frac{22 \cdot 2 + 52}{2}$

Step 1.2.4

Simplify the numerator.

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Step 1.2.4.1

Multiply

22

$22$ by

2

$2$ .

5 \frac{44 + 52}{2}

$5 \frac{44 + 52}{2}$

Step 1.2.4.2

Add

44

$44$ and

52

$52$ .

5 (\frac{96}{2})

$5 (\frac{96}{2})$

5 (\frac{96}{2})

$5 (\frac{96}{2})$

5 (\frac{96}{2})

$5 (\frac{96}{2})$

5 (\frac{96}{2})

$5 (\frac{96}{2})$

Step 2

Divide

96

$96$ by

2

$2$ .

5 \cdot 48

$5 \cdot 48$

Step 3

Multiply

5

$5$ by

48

$48$ .

240

$240$