Basic Math Examples

$7 + 2 + 5 \cdot \frac{89}{44} - 18 \cdot 9$

Step 1

Multiply $5$ by $\frac{89}{44}$ .

$7 + 2 + 5 (\frac{89}{44}) - 18 \cdot 9$

Step 2

Multiply $5 (\frac{89}{44})$ .

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Step 2.1

Combine $5$ and $\frac{89}{44}$ .

$7 + 2 + \frac{5 \cdot 89}{44} - 18 \cdot 9$

Step 2.2

Multiply $5$ by $89$ .

$7 + 2 + \frac{445}{44} - 18 \cdot 9$

Step 3

Multiply $- 18$ by $9$ .

$7 + 2 + \frac{445}{44} - 162$

Step 4

Add $7$ and $2$ .

$9 + \frac{445}{44} - 162$

Step 5

To write $9$ as a fraction with a common denominator, multiply by $\frac{44}{44}$ .

$9 \cdot \frac{44}{44} + \frac{445}{44} - 162$

Step 6

Combine $9$ and $\frac{44}{44}$ .

$\frac{9 \cdot 44}{44} + \frac{445}{44} - 162$

Step 7

Combine the numerators over the common denominator.

$\frac{9 \cdot 44 + 445}{44} - 162$

Step 8

Simplify the numerator.

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Step 8.1

Multiply $9$ by $44$ .

$\frac{396 + 445}{44} - 162$

Step 8.2

Add $396$ and $445$ .

$\frac{841}{44} - 162$

Step 9

To write $- 162$ as a fraction with a common denominator, multiply by $\frac{44}{44}$ .

$\frac{841}{44} - 162 \cdot \frac{44}{44}$

Step 10

Combine $- 162$ and $\frac{44}{44}$ .

$\frac{841}{44} + \frac{- 162 \cdot 44}{44}$

Step 11

Combine the numerators over the common denominator.

$\frac{841 - 162 \cdot 44}{44}$

Step 12

Simplify the numerator.

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Step 12.1

Multiply $- 162$ by $44$ .

$\frac{841 - 7128}{44}$

Step 12.2

Subtract $7128$ from $841$ .

$\frac{- 6287}{44}$

Step 13

Move the negative in front of the fraction.

$- \frac{6287}{44}$