Solve 2/3*31/2-13/5

$$\frac{ 2 }{ 3 } \times 3 \frac{ 1 }{ 2 } -1 \frac{ 3 }{ 5 }$$

Evaluate

$$\frac{11}{15}\approx 0.733333333$$

Solution Steps

Multiply 3 and 2 to get 6.

$$\frac{2}{3}\times \frac{6+1}{2}-\frac{1\times 5+3}{5}$$

Add 6 and 1 to get 7.

$$\frac{2}{3}\times \frac{7}{2}-\frac{1\times 5+3}{5}$$

Multiply \frac{2}{3} times \frac{7}{2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{2\times 7}{3\times 2}-\frac{1\times 5+3}{5}$$

Cancel out 2 in both numerator and denominator.

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

Multiply 1 and 5 to get 5.

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

Add 5 and 3 to get 8.

$$\frac{7}{3}-\frac{8}{5}$$

Least common multiple of 3 and 5 is 15. Convert \frac{7}{3} and \frac{8}{5} to fractions with denominator 15.

$$\frac{35}{15}-\frac{24}{15}$$

Since \frac{35}{15} and \frac{24}{15} have the same denominator, subtract them by subtracting their numerators.

$$\frac{35-24}{15}$$

Subtract 24 from 35 to get 11.

$$\frac{11}{15}$$

Factor

$$\frac{11}{3 \cdot 5} = 0.7333333333333333$$