Solve 17/2+21/10-17/3=

$$\frac { 17 } { 2 } + \frac { 21 } { 10 } - \frac { 17 } { 3 } =$$

Evaluate

$$\frac{74}{15}\approx 4.933333333$$

Solution Steps

Least common multiple of 2 and 10 is 10. Convert \frac{17}{2} and \frac{21}{10} to fractions with denominator 10.

$$\frac{85}{10}+\frac{21}{10}-\frac{17}{3}$$

Since \frac{85}{10} and \frac{21}{10} have the same denominator, add them by adding their numerators.

$$\frac{85+21}{10}-\frac{17}{3}$$

Add 85 and 21 to get 106.

$$\frac{106}{10}-\frac{17}{3}$$

Reduce the fraction \frac{106}{10} to lowest terms by extracting and canceling out 2.

$$\frac{53}{5}-\frac{17}{3}$$

Least common multiple of 5 and 3 is 15. Convert \frac{53}{5} and \frac{17}{3} to fractions with denominator 15.

$$\frac{159}{15}-\frac{85}{15}$$

Since \frac{159}{15} and \frac{85}{15} have the same denominator, subtract them by subtracting their numerators.

$$\frac{159-85}{15}$$

Subtract 85 from 159 to get 74.

$$\frac{74}{15}$$

Factor

$$\frac{2 \cdot 37}{3 \cdot 5} = 4\frac{14}{15} = 4.933333333333334$$