Basic Math Examples

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

Step 1

Find the common denominator.

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Step 1.1

Write $0.5$ as a fraction with denominator $1$ .

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

Step 1.2

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

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

Step 1.3

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

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

Step 1.4

Multiply $0.5 \div 0.5$ by $\frac{\frac{1}{0.5}}{\frac{1}{0.5}}$ .

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

Step 1.5

Multiply $0.5 \div 0.5$ by $\frac{\frac{1}{0.5}}{\frac{1}{0.5}}$ .

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

Step 1.6

Write $- 0.5 \cdot 0.5$ as a fraction with denominator $1$ .

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

Step 1.7

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

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

Step 1.8

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

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

Step 1.9

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

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

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 $1$ .

$1.25$