Solve 15-2[(32/5+23/5)3]

$$15 - 2 [ ( 3 \frac { 2 } { 5 } + 2 \frac { 3 } { 5 } ) 3 ]$$

Evaluate

$$-21$$

Solution Steps

Multiply 3 and 5 to get 15.

$$15-2\left(\frac{15+2}{5}+\frac{2\times 5+3}{5}\right)\times 3$$

Add 15 and 2 to get 17.

$$15-2\left(\frac{17}{5}+\frac{2\times 5+3}{5}\right)\times 3$$

Multiply 2 and 5 to get 10.

$$15-2\left(\frac{17}{5}+\frac{10+3}{5}\right)\times 3$$

Add 10 and 3 to get 13.

$$15-2\left(\frac{17}{5}+\frac{13}{5}\right)\times 3$$

Since \frac{17}{5} and \frac{13}{5} have the same denominator, add them by adding their numerators.

$$15-2\times \frac{17+13}{5}\times 3$$

Add 17 and 13 to get 30.

$$15-2\times \frac{30}{5}\times 3$$

Divide 30 by 5 to get 6.

$$15-2\times 6\times 3$$

Multiply 2 and 6 to get 12.

$$15-12\times 3$$

Multiply 12 and 3 to get 36.

$$15-36$$

Subtract 36 from 15 to get -21.

$$-21$$

Factor

$$-21$$