Basic Math Examples

$7 - 7 \cdot 9 + 63 \cdot 2 \div 2 - 5$

Step 1

Multiply $63$ by $2$ .

$7 - 7 \cdot 9 + 126 \div 2 - 5$

Step 2

Find the common denominator.

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Step 2.1

Write $7$ as a fraction with denominator $1$ .

$\frac{7}{1} - 7 \cdot 9 + 126 \div 2 - 5$

Step 2.2

Multiply $\frac{7}{1}$ by $\frac{2}{2}$ .

$\frac{7}{1} \cdot \frac{2}{2} - 7 \cdot 9 + 126 \div 2 - 5$

Step 2.3

Multiply $\frac{7}{1}$ by $\frac{2}{2}$ .

$\frac{7 \cdot 2}{2} - 7 \cdot 9 + 126 \div 2 - 5$

Step 2.4

Write $- 7 \cdot 9$ as a fraction with denominator $1$ .

$\frac{7 \cdot 2}{2} + \frac{- 7 \cdot 9}{1} + 126 \div 2 - 5$

Step 2.5

Multiply $\frac{- 7 \cdot 9}{1}$ by $\frac{2}{2}$ .

$\frac{7 \cdot 2}{2} + \frac{- 7 \cdot 9}{1} \cdot \frac{2}{2} + 126 \div 2 - 5$

Step 2.6

Multiply $\frac{- 7 \cdot 9}{1}$ by $\frac{2}{2}$ .

$\frac{7 \cdot 2}{2} + \frac{- 7 \cdot 9 \cdot 2}{2} + 126 \div 2 - 5$

Step 2.7

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

$\frac{7 \cdot 2}{2} + \frac{- 7 \cdot 9 \cdot 2}{2} + 126 \div 2 + \frac{- 5}{1}$

Step 2.8

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

$\frac{7 \cdot 2}{2} + \frac{- 7 \cdot 9 \cdot 2}{2} + 126 \div 2 + \frac{- 5}{1} \cdot \frac{2}{2}$

Step 2.9

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

$\frac{7 \cdot 2}{2} + \frac{- 7 \cdot 9 \cdot 2}{2} + 126 \div 2 + \frac{- 5 \cdot 2}{2}$

Step 3

Combine the numerators over the common denominator.

$\frac{7 \cdot 2 - 7 \cdot 9 \cdot 2 + 126 - 5 \cdot 2}{2}$

Step 4

Simplify each term.

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Step 4.1

Multiply $7$ by $2$ .

$\frac{14 - 7 \cdot 9 \cdot 2 + 126 - 5 \cdot 2}{2}$

Step 4.2

Multiply $- 7 \cdot 9 \cdot 2$ .

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Step 4.2.1

Multiply $- 7$ by $9$ .

$\frac{14 - 63 \cdot 2 + 126 - 5 \cdot 2}{2}$

Step 4.2.2

Multiply $- 63$ by $2$ .

$\frac{14 - 126 + 126 - 5 \cdot 2}{2}$

Step 4.3

Multiply $- 5$ by $2$ .

$\frac{14 - 126 + 126 - 10}{2}$

Step 5

Simplify the expression.

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Step 5.1

Subtract $126$ from $14$ .

$\frac{- 112 + 126 - 10}{2}$

Step 5.2

Add $- 112$ and $126$ .

$\frac{14 - 10}{2}$

Step 5.3

Subtract $10$ from $14$ .

$\frac{4}{2}$

Step 5.4

Divide $4$ by $2$ .

$2$