Solve 9/5+7/3-3

$$\frac { 9 } { 5 } + \frac { 7 } { 3 } - 3$$

Evaluate

$$\frac{17}{15}\approx 1.133333333$$

Solution Steps

Least common multiple of 5 and 3 is 15. Convert \frac{9}{5} and \frac{7}{3} to fractions with denominator 15.

$$\frac{27}{15}+\frac{35}{15}-3$$

Since \frac{27}{15} and \frac{35}{15} have the same denominator, add them by adding their numerators.

$$\frac{27+35}{15}-3$$

Add 27 and 35 to get 62.

$$\frac{62}{15}-3$$

Convert 3 to fraction \frac{45}{15}.

$$\frac{62}{15}-\frac{45}{15}$$

Since \frac{62}{15} and \frac{45}{15} have the same denominator, subtract them by subtracting their numerators.

$$\frac{62-45}{15}$$

Subtract 45 from 62 to get 17.

$$\frac{17}{15}$$

Factor

$$\frac{17}{3 \cdot 5} = 1\frac{2}{15} = 1.1333333333333333$$