Basic Math Examples

$\frac{1}{2} + 0.75 + (0.1 + \frac{1}{2} - 0.9) \div 10$

Step 1

To write $0.1$ as a fraction with a common denominator, multiply by $\frac{2}{2}$ .

$\frac{1}{2} + 0.75 + (0.1 \cdot \frac{2}{2} + \frac{1}{2} - 0.9) \div 10$

Step 2

Combine $0.1$ and $\frac{2}{2}$ .

$\frac{1}{2} + 0.75 + (\frac{0.1 \cdot 2}{2} + \frac{1}{2} - 0.9) \div 10$

Step 3

Combine the numerators over the common denominator.

$\frac{1}{2} + 0.75 + (\frac{0.1 \cdot 2 + 1}{2} - 0.9) \div 10$

Step 4

To write $- 0.9$ as a fraction with a common denominator, multiply by $\frac{2}{2}$ .

$\frac{1}{2} + 0.75 + (\frac{0.1 \cdot 2 + 1}{2} - 0.9 \cdot \frac{2}{2}) \div 10$

Step 5

Combine $- 0.9$ and $\frac{2}{2}$ .

$\frac{1}{2} + 0.75 + (\frac{0.1 \cdot 2 + 1}{2} + \frac{- 0.9 \cdot 2}{2}) \div 10$

Step 6

Combine the numerators over the common denominator.

$\frac{1}{2} + 0.75 + \frac{0.1 \cdot 2 + 1 - 0.9 \cdot 2}{2} \div 10$

Step 7

Subtract $0.9 \cdot 2$ from $0.1 \cdot 2$ .

$\frac{1}{2} + 0.75 + \frac{1 - 0.8 \cdot 2}{2} \div 10$

Step 8

Simplify the expression.

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Step 8.1

Multiply $- 0.8$ by $2$ .

$\frac{1}{2} + 0.75 + \frac{1 - 1.6}{2} \div 10$

Step 8.2

Subtract $1.6$ from $1$ .

$\frac{1}{2} + 0.75 + \frac{- 0.6}{2} \div 10$

Step 9

Find the common denominator.

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Step 9.1

Multiply $\frac{1}{2}$ by $\frac{5}{5}$ .

$\frac{1}{2} \cdot \frac{5}{5} + 0.75 + \frac{- 0.6}{2} \div 10$

Step 9.2

Multiply $\frac{1}{2}$ by $\frac{5}{5}$ .

$\frac{5}{2 \cdot 5} + 0.75 + \frac{- 0.6}{2} \div 10$

Step 9.3

Write $0.75$ as a fraction with denominator $1$ .

$\frac{5}{2 \cdot 5} + \frac{0.75}{1} + \frac{- 0.6}{2} \div 10$

Step 9.4

Multiply $\frac{0.75}{1}$ by $\frac{10}{10}$ .

$\frac{5}{2 \cdot 5} + \frac{0.75}{1} \cdot \frac{10}{10} + \frac{- 0.6}{2} \div 10$

Step 9.5

Multiply $\frac{0.75}{1}$ by $\frac{10}{10}$ .

$\frac{5}{2 \cdot 5} + \frac{0.75 \cdot 10}{10} + \frac{- 0.6}{2} \div 10$

Step 9.6

Multiply $2$ by $5$ .

$\frac{5}{10} + \frac{0.75 \cdot 10}{10} + \frac{- 0.6}{2} \div 10$

Step 10

Combine the numerators over the common denominator.

$\frac{5 + 0.75 \cdot 10 + \frac{- 0.6}{2}}{10}$

Step 11

Find the common denominator.

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Step 11.1

Write $5$ as a fraction with denominator $1$ .

$\frac{\frac{5}{1} + 0.75 \cdot 10 + \frac{- 0.6}{2}}{10}$

Step 11.2

Multiply $\frac{5}{1}$ by $\frac{2}{2}$ .

$\frac{\frac{5}{1} \cdot \frac{2}{2} + 0.75 \cdot 10 + \frac{- 0.6}{2}}{10}$

Step 11.3

Multiply $\frac{5}{1}$ by $\frac{2}{2}$ .

$\frac{\frac{5 \cdot 2}{2} + 0.75 \cdot 10 + \frac{- 0.6}{2}}{10}$

Step 11.4

Write $0.75 \cdot 10$ as a fraction with denominator $1$ .

$\frac{\frac{5 \cdot 2}{2} + \frac{0.75 \cdot 10}{1} + \frac{- 0.6}{2}}{10}$

Step 11.5

Multiply $\frac{0.75 \cdot 10}{1}$ by $\frac{2}{2}$ .

$\frac{\frac{5 \cdot 2}{2} + \frac{0.75 \cdot 10}{1} \cdot \frac{2}{2} + \frac{- 0.6}{2}}{10}$

Step 11.6

Multiply $\frac{0.75 \cdot 10}{1}$ by $\frac{2}{2}$ .

$\frac{\frac{5 \cdot 2}{2} + \frac{0.75 \cdot 10 \cdot 2}{2} + \frac{- 0.6}{2}}{10}$

Step 12

Combine the numerators over the common denominator.

$\frac{\frac{5 \cdot 2 + 0.75 \cdot 10 \cdot 2 - 0.6}{2}}{10}$

Step 13

Simplify each term.

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Step 13.1

Multiply $5$ by $2$ .

$\frac{\frac{10 + 0.75 \cdot 10 \cdot 2 - 0.6}{2}}{10}$

Step 13.2

Multiply $0.75 \cdot 10 \cdot 2$ .

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Step 13.2.1

Multiply $0.75$ by $10$ .

$\frac{\frac{10 + 7.5 \cdot 2 - 0.6}{2}}{10}$

Step 13.2.2

Multiply $7.5$ by $2$ .

$\frac{\frac{10 + 15 - 0.6}{2}}{10}$

Step 14

Simplify the expression.

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Step 14.1

Add $10$ and $15$ .

$\frac{\frac{25 - 0.6}{2}}{10}$

Step 14.2

Subtract $0.6$ from $25$ .

$\frac{\frac{24.4}{2}}{10}$

Step 14.3

Divide $24.4$ by $2$ .

$\frac{12.2}{10}$

Step 14.4

Divide $12.2$ by $10$ .

$1.22$