Basic Math Examples

(50 \div 2) + 5^{3} - 5

$(50 \div 2) + 5^{3} - 5$

Step 1

Find the common denominator.

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Step 1.1

Write

5^{3}

$5^{3}$ as a fraction with denominator

1

$1$ .

50 \div 2 + \frac{5^{3}}{1} - 5

$50 \div 2 + \frac{5^{3}}{1} - 5$

Step 1.2

Multiply

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

$\frac{5^{3}}{1}$ by

\frac{2}{2}

$\frac{2}{2}$ .

50 \div 2 + \frac{5^{3}}{1} \cdot \frac{2}{2} - 5

$50 \div 2 + \frac{5^{3}}{1} \cdot \frac{2}{2} - 5$

Step 1.3

Multiply

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

$\frac{5^{3}}{1}$ by

\frac{2}{2}

$\frac{2}{2}$ .

50 \div 2 + \frac{5^{3} \cdot 2}{2} - 5

$50 \div 2 + \frac{5^{3} \cdot 2}{2} - 5$

Step 1.4

Write

- 5

$- 5$ as a fraction with denominator

1

$1$ .

50 \div 2 + \frac{5^{3} \cdot 2}{2} + \frac{- 5}{1}

$50 \div 2 + \frac{5^{3} \cdot 2}{2} + \frac{- 5}{1}$

Step 1.5

Multiply

\frac{- 5}{1}

$\frac{- 5}{1}$ by

\frac{2}{2}

$\frac{2}{2}$ .

50 \div 2 + \frac{5^{3} \cdot 2}{2} + \frac{- 5}{1} \cdot \frac{2}{2}

$50 \div 2 + \frac{5^{3} \cdot 2}{2} + \frac{- 5}{1} \cdot \frac{2}{2}$

Step 1.6

Multiply

\frac{- 5}{1}

$\frac{- 5}{1}$ by

\frac{2}{2}

$\frac{2}{2}$ .

50 \div 2 + \frac{5^{3} \cdot 2}{2} + \frac{- 5 \cdot 2}{2}

$50 \div 2 + \frac{5^{3} \cdot 2}{2} + \frac{- 5 \cdot 2}{2}$

50 \div 2 + \frac{5^{3} \cdot 2}{2} + \frac{- 5 \cdot 2}{2}

$50 \div 2 + \frac{5^{3} \cdot 2}{2} + \frac{- 5 \cdot 2}{2}$

Step 2

Combine the numerators over the common denominator.

\frac{50 + 5^{3} \cdot 2 - 5 \cdot 2}{2}

$\frac{50 + 5^{3} \cdot 2 - 5 \cdot 2}{2}$

Step 3

Simplify each term.

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Step 3.1

Raise

5

$5$ to the power of

3

$3$ .

\frac{50 + 125 \cdot 2 - 5 \cdot 2}{2}

$\frac{50 + 125 \cdot 2 - 5 \cdot 2}{2}$

Step 3.2

Multiply

125

$125$ by

2

$2$ .

\frac{50 + 250 - 5 \cdot 2}{2}

$\frac{50 + 250 - 5 \cdot 2}{2}$

Step 3.3

Multiply

- 5

$- 5$ by

2

$2$ .

\frac{50 + 250 - 10}{2}

$\frac{50 + 250 - 10}{2}$

\frac{50 + 250 - 10}{2}

$\frac{50 + 250 - 10}{2}$

Step 4

Simplify the expression.

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Step 4.1

Add

50

$50$ and

250

$250$ .

\frac{300 - 10}{2}

$\frac{300 - 10}{2}$

Step 4.2

Subtract

10

$10$ from

300

$300$ .

\frac{290}{2}

$\frac{290}{2}$

Step 4.3

Divide

290

$290$ by

2

$2$ .

145

$145$

145

$145$