Basic Math Examples

10 + 10 \cdot 10 - 10 \div 10

$10 + 10 \cdot 10 - 10 \div 10$

Step 1

Find the common denominator.

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Step 1.1

Write

10

$10$ as a fraction with denominator

1

$1$ .

\frac{10}{1} + 10 \cdot 10 - 10 \div 10

$\frac{10}{1} + 10 \cdot 10 - 10 \div 10$

Step 1.2

Multiply

\frac{10}{1}

$\frac{10}{1}$ by

\frac{10}{10}

$\frac{10}{10}$ .

\frac{10}{1} \cdot \frac{10}{10} + 10 \cdot 10 - 10 \div 10

$\frac{10}{1} \cdot \frac{10}{10} + 10 \cdot 10 - 10 \div 10$

Step 1.3

Multiply

\frac{10}{1}

$\frac{10}{1}$ by

\frac{10}{10}

$\frac{10}{10}$ .

\frac{10 \cdot 10}{10} + 10 \cdot 10 - 10 \div 10

$\frac{10 \cdot 10}{10} + 10 \cdot 10 - 10 \div 10$

Step 1.4

Write

10 \cdot 10

$10 \cdot 10$ as a fraction with denominator

1

$1$ .

\frac{10 \cdot 10}{10} + \frac{10 \cdot 10}{1} - 10 \div 10

$\frac{10 \cdot 10}{10} + \frac{10 \cdot 10}{1} - 10 \div 10$

Step 1.5

Multiply

\frac{10 \cdot 10}{1}

$\frac{10 \cdot 10}{1}$ by

\frac{10}{10}

$\frac{10}{10}$ .

\frac{10 \cdot 10}{10} + \frac{10 \cdot 10}{1} \cdot \frac{10}{10} - 10 \div 10

$\frac{10 \cdot 10}{10} + \frac{10 \cdot 10}{1} \cdot \frac{10}{10} - 10 \div 10$

Step 1.6

Multiply

\frac{10 \cdot 10}{1}

$\frac{10 \cdot 10}{1}$ by

\frac{10}{10}

$\frac{10}{10}$ .

\frac{10 \cdot 10}{10} + \frac{10 \cdot 10 \cdot 10}{10} - 10 \div 10

$\frac{10 \cdot 10}{10} + \frac{10 \cdot 10 \cdot 10}{10} - 10 \div 10$

\frac{10 \cdot 10}{10} + \frac{10 \cdot 10 \cdot 10}{10} - 10 \div 10

$\frac{10 \cdot 10}{10} + \frac{10 \cdot 10 \cdot 10}{10} - 10 \div 10$

Step 2

Combine the numerators over the common denominator.

\frac{10 \cdot 10 + 10 \cdot 10 \cdot 10 - 10}{10}

$\frac{10 \cdot 10 + 10 \cdot 10 \cdot 10 - 10}{10}$

Step 3

Simplify each term.

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Step 3.1

Multiply

10

$10$ by

10

$10$ .

\frac{100 + 10 \cdot 10 \cdot 10 - 10}{10}

$\frac{100 + 10 \cdot 10 \cdot 10 - 10}{10}$

Step 3.2

Multiply

10 \cdot 10 \cdot 10

$10 \cdot 10 \cdot 10$ .

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Step 3.2.1

Multiply

10

$10$ by

10

$10$ .

\frac{100 + 100 \cdot 10 - 10}{10}

$\frac{100 + 100 \cdot 10 - 10}{10}$

Step 3.2.2

Multiply

100

$100$ by

10

$10$ .

\frac{100 + 1000 - 10}{10}

$\frac{100 + 1000 - 10}{10}$

\frac{100 + 1000 - 10}{10}

$\frac{100 + 1000 - 10}{10}$

\frac{100 + 1000 - 10}{10}

$\frac{100 + 1000 - 10}{10}$

Step 4

Simplify the expression.

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Step 4.1

Add

100

$100$ and

1000

$1000$ .

\frac{1100 - 10}{10}

$\frac{1100 - 10}{10}$

Step 4.2

Subtract

10

$10$ from

1100

$1100$ .

\frac{1090}{10}

$\frac{1090}{10}$

Step 4.3

Divide

1090

$1090$ by

10

$10$ .

109

$109$

109

$109$