Solve 1/9*17div3-3/5

$$\frac{ 1 }{ 9 } \times 17 \div 3- \frac{ 3 }{ 5 }$$

Evaluate

$$\frac{4}{135}\approx 0.02962963$$

Solution Steps

Multiply \frac{1}{9} and 17 to get \frac{17}{9}.

$$\frac{\frac{17}{9}}{3}-\frac{3}{5}$$

Express \frac{\frac{17}{9}}{3} as a single fraction.

$$\frac{17}{9\times 3}-\frac{3}{5}$$

Multiply 9 and 3 to get 27.

$$\frac{17}{27}-\frac{3}{5}$$

Least common multiple of 27 and 5 is 135. Convert \frac{17}{27} and \frac{3}{5} to fractions with denominator 135.

$$\frac{85}{135}-\frac{81}{135}$$

Since \frac{85}{135} and \frac{81}{135} have the same denominator, subtract them by subtracting their numerators.

$$\frac{85-81}{135}$$

Subtract 81 from 85 to get 4.

$$\frac{4}{135}$$

Factor

$$\frac{2 ^ {2}}{3 ^ {3} \cdot 5} = 0.02962962962962963$$