Solve 7/2-2/3*3/5

$$\frac { 7 } { 2 } - \frac { 2 } { 3 } \times \frac { 3 } { 5 }$$

Evaluate

$$\frac{31}{10}=3.1$$

Solution Steps

Multiply \frac{2}{3} times \frac{3}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{7}{2}-\frac{2\times 3}{3\times 5}$$

Cancel out 3 in both numerator and denominator.

$$\frac{7}{2}-\frac{2}{5}$$

Least common multiple of 2 and 5 is 10. Convert \frac{7}{2} and \frac{2}{5} to fractions with denominator 10.

$$\frac{35}{10}-\frac{4}{10}$$

Since \frac{35}{10} and \frac{4}{10} have the same denominator, subtract them by subtracting their numerators.

$$\frac{35-4}{10}$$

Subtract 4 from 35 to get 31.

$$\frac{31}{10}$$

Factor

$$\frac{31}{2 \cdot 5} = 3\frac{1}{10} = 3.1$$