Solve 23/5*31/3-6

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

Evaluate

$$\frac{8}{3}\approx 2.666666667$$

Solution Steps

Multiply 2 and 5 to get 10.

$$\frac{10+3}{5}\times \frac{3\times 3+1}{3}-6$$

Add 10 and 3 to get 13.

$$\frac{13}{5}\times \frac{3\times 3+1}{3}-6$$

Multiply 3 and 3 to get 9.

$$\frac{13}{5}\times \frac{9+1}{3}-6$$

Add 9 and 1 to get 10.

$$\frac{13}{5}\times \frac{10}{3}-6$$

Multiply \frac{13}{5} times \frac{10}{3} by multiplying numerator times numerator and denominator times denominator.

$$\frac{13\times 10}{5\times 3}-6$$

Do the multiplications in the fraction \frac{13\times 10}{5\times 3}.

$$\frac{130}{15}-6$$

Reduce the fraction \frac{130}{15} to lowest terms by extracting and canceling out 5.

$$\frac{26}{3}-6$$

Convert 6 to fraction \frac{18}{3}.

$$\frac{26}{3}-\frac{18}{3}$$

Since \frac{26}{3} and \frac{18}{3} have the same denominator, subtract them by subtracting their numerators.

$$\frac{26-18}{3}$$

Subtract 18 from 26 to get 8.

$$\frac{8}{3}$$

Factor

$$\frac{2 ^ {3}}{3} = 2\frac{2}{3} = 2.6666666666666665$$