Solve 4*6div9div6-5+5*6*5div5

$$4 \times 6 \div 9 \div 6-5+5 \times 6 \times 5 \div 5$$

Evaluate

$$\frac{229}{9}\approx 25.444444444$$

Solution Steps

Express \frac{\frac{4\times 6}{9}}{6} as a single fraction.

$$\frac{4\times 6}{9\times 6}-5+\frac{5\times 6\times 5}{5}$$

Cancel out 2\times 3 in both numerator and denominator.

$$\frac{2\times 2}{3\times 3}-5+\frac{5\times 6\times 5}{5}$$

Multiply 2 and 2 to get 4.

$$\frac{4}{3\times 3}-5+\frac{5\times 6\times 5}{5}$$

Multiply 3 and 3 to get 9.

$$\frac{4}{9}-5+\frac{5\times 6\times 5}{5}$$

Convert 5 to fraction \frac{45}{9}.

$$\frac{4}{9}-\frac{45}{9}+\frac{5\times 6\times 5}{5}$$

Since \frac{4}{9} and \frac{45}{9} have the same denominator, subtract them by subtracting their numerators.

$$\frac{4-45}{9}+\frac{5\times 6\times 5}{5}$$

Subtract 45 from 4 to get -41.

$$-\frac{41}{9}+\frac{5\times 6\times 5}{5}$$

Cancel out 5 and 5.

$$-\frac{41}{9}+6\times 5$$

Multiply 6 and 5 to get 30.

$$-\frac{41}{9}+30$$

Convert 30 to fraction \frac{270}{9}.

$$-\frac{41}{9}+\frac{270}{9}$$

Since -\frac{41}{9} and \frac{270}{9} have the same denominator, add them by adding their numerators.

$$\frac{-41+270}{9}$$

Add -41 and 270 to get 229.

$$\frac{229}{9}$$

Factor

$$\frac{229}{3 ^ {2}} = 25\frac{4}{9} = 25.444444444444443$$