Solve 5/(2+1)-2/17-3

$$\frac { 5 } { ( 2 + 1 ) } - \frac { 2 } { 17 - 3 }$$

Evaluate

$$\frac{32}{21}\approx 1.523809524$$

Solution Steps

Add 2 and 1 to get 3.

$$\frac{5}{3}-\frac{2}{17-3}$$

Subtract 3 from 17 to get 14.

$$\frac{5}{3}-\frac{2}{14}$$

Reduce the fraction \frac{2}{14} to lowest terms by extracting and canceling out 2.

$$\frac{5}{3}-\frac{1}{7}$$

Least common multiple of 3 and 7 is 21. Convert \frac{5}{3} and \frac{1}{7} to fractions with denominator 21.

$$\frac{35}{21}-\frac{3}{21}$$

Since \frac{35}{21} and \frac{3}{21} have the same denominator, subtract them by subtracting their numerators.

$$\frac{35-3}{21}$$

Subtract 3 from 35 to get 32.

$$\frac{32}{21}$$

Factor

$$\frac{2 ^ {5}}{3 \cdot 7} = 1\frac{11}{21} = 1.5238095238095237$$