Solve 3+6div9*2-3+90

$$3 + 6 \div 9 \times 2 - 3 + 90$$

Evaluate

$$\frac{274}{3}\approx 91.333333333$$

Solution Steps

Reduce the fraction \frac{6}{9} to lowest terms by extracting and canceling out 3.

$$3+\frac{2}{3}\times 2-3+90$$

Express \frac{2}{3}\times 2 as a single fraction.

$$3+\frac{2\times 2}{3}-3+90$$

Multiply 2 and 2 to get 4.

$$3+\frac{4}{3}-3+90$$

Convert 3 to fraction \frac{9}{3}.

$$\frac{9}{3}+\frac{4}{3}-3+90$$

Since \frac{9}{3} and \frac{4}{3} have the same denominator, add them by adding their numerators.

$$\frac{9+4}{3}-3+90$$

Add 9 and 4 to get 13.

$$\frac{13}{3}-3+90$$

Convert 3 to fraction \frac{9}{3}.

$$\frac{13}{3}-\frac{9}{3}+90$$

Since \frac{13}{3} and \frac{9}{3} have the same denominator, subtract them by subtracting their numerators.

$$\frac{13-9}{3}+90$$

Subtract 9 from 13 to get 4.

$$\frac{4}{3}+90$$

Convert 90 to fraction \frac{270}{3}.

$$\frac{4}{3}+\frac{270}{3}$$

Since \frac{4}{3} and \frac{270}{3} have the same denominator, add them by adding their numerators.

$$\frac{4+270}{3}$$

Add 4 and 270 to get 274.

$$\frac{274}{3}$$

Factor

$$\frac{2 \cdot 137}{3} = 91\frac{1}{3} = 91.33333333333333$$