Solve 3/17-12/85+3/17=?

$$\frac { 3 } { 17 } - \frac { 12 } { 85 } + \frac { 3 } { 17 } = ?$$

Evaluate

$$\frac{18}{85}\approx 0.211764706$$

Solution Steps

Least common multiple of 17 and 85 is 85. Convert \frac{3}{17} and \frac{12}{85} to fractions with denominator 85.

$$\frac{15}{85}-\frac{12}{85}+\frac{3}{17}$$

Since \frac{15}{85} and \frac{12}{85} have the same denominator, subtract them by subtracting their numerators.

$$\frac{15-12}{85}+\frac{3}{17}$$

Subtract 12 from 15 to get 3.

$$\frac{3}{85}+\frac{3}{17}$$

Least common multiple of 85 and 17 is 85. Convert \frac{3}{85} and \frac{3}{17} to fractions with denominator 85.

$$\frac{3}{85}+\frac{15}{85}$$

Since \frac{3}{85} and \frac{15}{85} have the same denominator, add them by adding their numerators.

$$\frac{3+15}{85}$$

Add 3 and 15 to get 18.

$$\frac{18}{85}$$

Factor

$$\frac{2 \cdot 3 ^ {2}}{5 \cdot 17} = 0.21176470588235294$$