Solve 100div9+6-2*36-4+2002

$$100 \div 9+6-2 \times 36-4+2002$$

Evaluate

$$\frac{17488}{9}\approx 1943.111111111$$

Solution Steps

Convert 6 to fraction \frac{54}{9}.

$$\frac{100}{9}+\frac{54}{9}-2\times 36-4+2002$$

Since \frac{100}{9} and \frac{54}{9} have the same denominator, add them by adding their numerators.

$$\frac{100+54}{9}-2\times 36-4+2002$$

Add 100 and 54 to get 154.

$$\frac{154}{9}-2\times 36-4+2002$$

Multiply 2 and 36 to get 72.

$$\frac{154}{9}-72-4+2002$$

Convert 72 to fraction \frac{648}{9}.

$$\frac{154}{9}-\frac{648}{9}-4+2002$$

Since \frac{154}{9} and \frac{648}{9} have the same denominator, subtract them by subtracting their numerators.

$$\frac{154-648}{9}-4+2002$$

Subtract 648 from 154 to get -494.

$$-\frac{494}{9}-4+2002$$

Convert 4 to fraction \frac{36}{9}.

$$-\frac{494}{9}-\frac{36}{9}+2002$$

Since -\frac{494}{9} and \frac{36}{9} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-494-36}{9}+2002$$

Subtract 36 from -494 to get -530.

$$-\frac{530}{9}+2002$$

Convert 2002 to fraction \frac{18018}{9}.

$$-\frac{530}{9}+\frac{18018}{9}$$

Since -\frac{530}{9} and \frac{18018}{9} have the same denominator, add them by adding their numerators.

$$\frac{-530+18018}{9}$$

Add -530 and 18018 to get 17488.

$$\frac{17488}{9}$$

Factor

$$\frac{2 ^ {4} \cdot 1093}{3 ^ {2}} = 1943\frac{1}{9} = 1943.111111111111$$