Basic Math Examples

0.5 + 0.5 \div 0.5 - 0.5 \cdot 0.5

$0.5 + 0.5 \div 0.5 - 0.5 \cdot 0.5$

Step 1

Find the common denominator.

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Step 1.1

Write

0.5

$0.5$ as a fraction with denominator

1

$1$ .

\frac{0.5}{1} + 0.5 \div 0.5 - 0.5 \cdot 0.5

$\frac{0.5}{1} + 0.5 \div 0.5 - 0.5 \cdot 0.5$

Step 1.2

Multiply

\frac{0.5}{1}

$\frac{0.5}{1}$ by

\frac{1}{1}

$\frac{1}{1}$ .

\frac{0.5}{1} \cdot \frac{1}{1} + 0.5 \div 0.5 - 0.5 \cdot 0.5

$\frac{0.5}{1} \cdot \frac{1}{1} + 0.5 \div 0.5 - 0.5 \cdot 0.5$

Step 1.3

Multiply

\frac{0.5}{1}

$\frac{0.5}{1}$ by

\frac{1}{1}

$\frac{1}{1}$ .

\frac{0.5}{1} + 0.5 \div 0.5 - 0.5 \cdot 0.5

$\frac{0.5}{1} + 0.5 \div 0.5 - 0.5 \cdot 0.5$

Step 1.4

Multiply

0.5 \div 0.5

$0.5 \div 0.5$ by

\frac{\frac{1}{0.5}}{\frac{1}{0.5}}

$\frac{\frac{1}{0.5}}{\frac{1}{0.5}}$ .

\frac{0.5}{1} + 0.5 \div 0.5 \cdot \frac{\frac{1}{0.5}}{\frac{1}{0.5}} - 0.5 \cdot 0.5

$\frac{0.5}{1} + 0.5 \div 0.5 \cdot \frac{\frac{1}{0.5}}{\frac{1}{0.5}} - 0.5 \cdot 0.5$

Step 1.5

Multiply

0.5 \div 0.5

$0.5 \div 0.5$ by

\frac{\frac{1}{0.5}}{\frac{1}{0.5}}

$\frac{\frac{1}{0.5}}{\frac{1}{0.5}}$ .

\frac{0.5}{1} + \frac{0.5 (\frac{1}{0.5})}{0.5 (\frac{1}{0.5})} - 0.5 \cdot 0.5

$\frac{0.5}{1} + \frac{0.5 (\frac{1}{0.5})}{0.5 (\frac{1}{0.5})} - 0.5 \cdot 0.5$

Step 1.6

Write

- 0.5 \cdot 0.5

$- 0.5 \cdot 0.5$ as a fraction with denominator

1

$1$ .

\frac{0.5}{1} + \frac{0.5 (\frac{1}{0.5})}{0.5 (\frac{1}{0.5})} + \frac{- 0.5 \cdot 0.5}{1}

$\frac{0.5}{1} + \frac{0.5 (\frac{1}{0.5})}{0.5 (\frac{1}{0.5})} + \frac{- 0.5 \cdot 0.5}{1}$

Step 1.7

Multiply

\frac{- 0.5 \cdot 0.5}{1}

$\frac{- 0.5 \cdot 0.5}{1}$ by

\frac{1}{1}

$\frac{1}{1}$ .

\frac{0.5}{1} + \frac{0.5 (\frac{1}{0.5})}{0.5 (\frac{1}{0.5})} + \frac{- 0.5 \cdot 0.5}{1} \cdot \frac{1}{1}

$\frac{0.5}{1} + \frac{0.5 (\frac{1}{0.5})}{0.5 (\frac{1}{0.5})} + \frac{- 0.5 \cdot 0.5}{1} \cdot \frac{1}{1}$

Step 1.8

Multiply

\frac{- 0.5 \cdot 0.5}{1}

$\frac{- 0.5 \cdot 0.5}{1}$ by

\frac{1}{1}

$\frac{1}{1}$ .

\frac{0.5}{1} + \frac{0.5 (\frac{1}{0.5})}{0.5 (\frac{1}{0.5})} + \frac{- 0.5 \cdot 0.5}{1}

$\frac{0.5}{1} + \frac{0.5 (\frac{1}{0.5})}{0.5 (\frac{1}{0.5})} + \frac{- 0.5 \cdot 0.5}{1}$

Step 1.9

Combine

0.5

$0.5$ and

\frac{1}{0.5}

$\frac{1}{0.5}$ .

\frac{0.5}{1} + \frac{0.5 (\frac{1}{0.5})}{\frac{0.5}{0.5}} + \frac{- 0.5 \cdot 0.5}{1}

$\frac{0.5}{1} + \frac{0.5 (\frac{1}{0.5})}{\frac{0.5}{0.5}} + \frac{- 0.5 \cdot 0.5}{1}$

\frac{0.5}{1} + \frac{0.5 (\frac{1}{0.5})}{\frac{0.5}{0.5}} + \frac{- 0.5 \cdot 0.5}{1}

$\frac{0.5}{1} + \frac{0.5 (\frac{1}{0.5})}{\frac{0.5}{0.5}} + \frac{- 0.5 \cdot 0.5}{1}$

Step 2

Combine fractions.

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Step 2.1

Combine the numerators over the common denominator.

$\frac{0.5 - 0.5 \cdot 0.5}{1} + \frac{0.5 (\frac{1}{0.5})}{\frac{0.5}{0.5}}$

Step 2.2

Simplify the expression.

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Step 2.2.1

Multiply

$- 0.5$ by

$0.5$ .

$\frac{0.5 - 0.25}{1} + \frac{0.5 (\frac{1}{0.5})}{\frac{0.5}{0.5}}$

Step 2.2.2

Subtract

$0.25$ from

$0.5$ .

$\frac{0.25}{1} + \frac{0.5 (\frac{1}{0.5})}{\frac{0.5}{0.5}}$

Step 3

Simplify each term.

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Step 3.1

Divide

$0.25$ by

$1$ .

$0.25 + \frac{0.5 (\frac{1}{0.5})}{\frac{0.5}{0.5}}$

Step 3.2

Cancel the common factor of

$0.5$ .

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Step 3.2.1

Cancel the common factor.

$0.25 + \frac{0.5 (\frac{1}{0.5})}{\frac{0.5}{0.5}}$

Step 3.2.2

Rewrite the expression.

$0.25 + \frac{0.5 (\frac{1}{0.5})}{1}$

Step 3.3

Divide

$0.5 (\frac{1}{0.5})$ by

$1$ .

$0.25 + 0.5 (\frac{1}{0.5})$

Step 3.4

Cancel the common factor of

$0.5$ .

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Step 3.4.1

Cancel the common factor.

$0.25 + 0.5 (\frac{1}{0.5})$

Step 3.4.2

Rewrite the expression.

$0.25 + 1$

Step 4

Add

$0.25$ and

$1$ .

$1.25$